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Probability and StatisticsQuestion and Answers: Page 10

Question Number 134296 Answers: 1 Comments: 0

Question Number 134168 Answers: 0 Comments: 2

Suppose there are 50 full-time teachers and each teacher requires 5 classes to make their load every academic semester. There are 5000 students and 2000 classes per semester. What is the probability that the teachers will meet their load requirement?

Question Number 133821 Answers: 2 Comments: 0

There are 5 positive numbers and 6 negative numbers. Three numbers are chosen at random and multiplied . The probability that the product being a negative number is (a) ((17)/(33)) (b) ((11)/(34)) (c) ((16)/(33)) (d) ((16)/(35))

$There are 5 positive numbers$ $and 6 negative numbers . Three$ $numbers are chosen at random$ $and multiplied . The probability$ $that the product being a negative$ $number is$ $(a) \frac{17}{33} (b) \frac{11}{34} (c) \frac{16}{33} (d) \frac{16}{35}$

Question Number 133818 Answers: 0 Comments: 0

An urn contains 24 balls : 6 white , 6 black, 6 green , and 6 red. If 4 balls are drawn at random with replacement . What is the probability that at least 3 different colors are represented in the sample ?

$An urn contains 24 balls : 6 white, 6 black,$ $6 green, and 6 red . If 4 balls$ $are drawn at random with replacement$ $. What is the probability that$ $at least 3 different colors are$ $represented in the sample ?$

Question Number 133696 Answers: 1 Comments: 0

A test consists of four questions each of which contains five alternative answers, one of which is correct. The test pass condition is at least four correct answers. A student, not knowing the test subject, scored the answers randomly.How is the probability for the student to pass?

$A test consists of four questions$ $each of which contains five alternative$ $answers, one of which is correct .$ $The test pass condition is at least$ $four correct answers . A student, not$ $knowing the test subject, scored the$ $answers randomly . How is the$ $probability for the student to pass ?$

Question Number 133588 Answers: 1 Comments: 0

Question Number 133424 Answers: 1 Comments: 0

Given 10 white balls and ten black balls numbered 1,2,...,10. How many ways can we choose 6 balls such that (i) no two chosen balls have the same number (ii) two pairs of chosen balls have the same number?

$Given 10 white balls and ten black balls$ $numbered 1, 2, . . ., 10 . How many$ $ways can we choose 6 balls such that$ $(i) no two chosen balls have the same number$ $(ii) two pairs of chosen balls have$ $the same number ?$

Question Number 133420 Answers: 1 Comments: 0

Let A denote the event of ′test positive′ in a specific experiment, and B that of ′have cancer′. It is known that P(B)=0.005 , P(A∣B)= 0.95 and P(A^− ∣B^− )= 0.95 Suppose someone tests positive in the experiment. Find the probability that he has cancer .

$Let A denote the event of^{'} test {positive}^{'}$ $in a specific experiment, and B$ $that of^{'} have {cancer}^{'} . It is known that$ $P (B) = 0.005, P (A ∣ B) = 0.95 and P (\bar{A} ∣ \bar{B}) = 0.95$ $Suppose someone tests positive in$ $the experiment . Find the probability that$ $he has cancer .$

Question Number 133293 Answers: 1 Comments: 2

Question Number 133021 Answers: 1 Comments: 0

A multiple −choice quiz has 200 questions each with 4 possible answers of which only 1 is the correct answer . What is the probability that sheer guesswork yields from 25 to 30 correct answer for 80 of the 200 problems about which the student has no knowledge?

$A multiple - choice quiz has 200$ $questions each with 4 possible$ $answers of which only 1 is the correct$ $answer . What is the probability$ $that sheer guesswork yields$ $from 25 to 30 correct answer for$ $80 of the 200 problems about which$ $the student has no knowledge ?$

Question Number 132551 Answers: 1 Comments: 0

A conservative design team , call it C and innovative design team call it N , are asked to separately design a new product within a month. From past experience we know that (a) The probability that team C is successful is 2/3 (b) The probability that team N is successful 1/2 (c) The probability that at least one team is successful is 3/4 Assuming that exactly one successful design is produced, what is the probability that it was designed by team N ?

$A conservative design team, call it C$ $and innovative design team call$ $it N, are asked to separately design$ $a new product within a month .$ $From past experience we know that$ $(a) The probability that team C is successful is 2 / 3$ $(b) The probability that team N is successful 1 / 2$ $(c) The probability that at least one$ $team is successful is 3 / 4$ $Assuming that exactly one successful$ $design is produced, what is the$ $probability that it was designed by$ $team N ?$

Question Number 132548 Answers: 1 Comments: 0

John and Ghina have a date at a given time, and each will arrive at the meeting place with a delay between 0 and 1 hour, with all pairs of delays being equally likely. The first arrive will wait for 15 minutes and will leave if the other has not yet arrived. What is the probability that they will meet?

$John and Ghina have a date at$ $a given time, and each will arrive$ $at the meeting place with a delay between$ $0 and 1 hour, with all pairs of$ $delays being equally likely .$ $The first arrive will wait for$ $15 minutes and will leave if$ $the other has not yet arrived . What$ $is the probability that they will meet ?$

Question Number 132086 Answers: 0 Comments: 3

Question Number 131975 Answers: 1 Comments: 2

Ninety students , including Joe and Jane are to be split into three classes of equal size and is to be done at random. What is the probability that Joe and Jane end up in the same class ?

$Ninety students, including Joe$ $and Jane are to be split into$ $three classes of equal size and is$ $to be done at random . What is$ $the probability that Joe and Jane$ $end up in the same class ?$

Question Number 131828 Answers: 2 Comments: 0

Question Number 131631 Answers: 1 Comments: 0

Selecting randomly an integer from 1 to 2000 , find the probability that neither 6 nor 8 divides the integer.

$Selecting randomly an integer$ $from 1 to 2000, find the probability$ $that neither 6 nor 8 divides the$ $integer .$

Question Number 131062 Answers: 1 Comments: 0

You flip two fair six−sidded dice and add the number of spots. what probability of getting a number divisible by 2 but not by 5 ?

$You flip two fair six - sidded dice and add$ $the number of spots . what probability of getting$ $a number divisible by 2 but not by 5 ?$

Question Number 130398 Answers: 0 Comments: 0

Question Number 128307 Answers: 0 Comments: 1

can anyone explain the concept of negative binomial distribution?

Question Number 128103 Answers: 1 Comments: 0

A box contains 4 black 5 white and 6 red shirts. 3 are drawn from the box one after the other without replacement. Find the proability that two of the same color and one a different color.

$A box contains 4 black 5 white$ $and 6 red shirts . 3 are drawn from$ $the box one after the other$ $without replacement . Find the$ $proability that two of the same$ $color and one a different color .$

Question Number 126270 Answers: 0 Comments: 0

Three coins tossed at once 5 times. The probability getting all faces or all hindsight a second time are....

$T h r e e c o i n s t o s s e d a t o n c e 5 t i m e s .$ $T h e p r o b a b i l i t y g e t t i n g a l l f a c e s o r a l l$ $h i n d s i g h t a s e c o n d t i m e a r e . . . .$

Question Number 126186 Answers: 0 Comments: 1

Question Number 125580 Answers: 0 Comments: 0

One number is written on the board. Each time the number is either squared or multiplied bh 2. If 1 is written on the board at the beginning, it is necessary to perform at least several operations to get the number 2^(2018) .

$O n e n u m b e r i s w r i t t e n o n t h e b o a r d .$ $E a c h t i m e t h e n u m b e r i s e i t h e r s q u a r e d o r m u l t i p l i e d b h 2 .$ $I f 1 i s w r i t t e n o n t h e b o a r d a t t h e b e g i n n i n g,$ $i t i s n e c e s s a r y t o p e r f o r m a t l e a s t$ $s e v e r a l o p e r a t i o n s t o g e t t h e n u m b e r 2^{2018} .$

Question Number 125182 Answers: 1 Comments: 0

How many 3−digit numbers divisible by 5 can be made using the numbers 7,8,9,2,1,0 without repetition?

$H o w m a n y 3 - d i g i t n u m b e r s d i v i s i b l e b y 5 c a n b e m a d e u s i n g t h e n u m b e r s 7, 8, 9, 2, 1, 0 w i t h o u t r e p e t i t i o n ?$

Question Number 125097 Answers: 0 Comments: 0

Question Number 124376 Answers: 1 Comments: 0

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