5. The manager of Toy World knows that the probability an electronic game will b

Question

5. The manager of Toy World knows that the probability an electronic game will be returned to the store is 0.31. If 60 games are sold in a given week, determine the probability that at most 23 of them are returned Answers are rounded to four decimal places as needed.) (a) 0.1387 (b) 0.0877 (c) 0.9123 (d) 0.0510 (e) None of these x=23 6. Given that X is a normal random variable with a mean of 60 and a standard deviation of 20, find the values of A and to the left of B, and use Answers MUST be rounded to four decimal and B such that P(A X B) = 0.8364 ifA and B are symmetric about the mean. To recieve full credit, sketch the normal curve, making sure to illustrate A and B as being symmetric about the mean to the best of your ability. Also, give the probabilities to the left of A the invNorm function with appropriate entries to find A and B. ( places.)

Explanation / Answer

SOlution:-

5) (c) P(x < 23) = 0.9123.

The probability that electronic game would be returned = p = 0.31

n = 60, x = 23

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x < 23) = 0.9123

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