8) Suppose the probability that a tire is defective is 0.05. If 1000 tires are sampled, find: a. the expected value of tires that will be defective in this sample b. interpret this c. Is this a discrete or continuous distribution? Explain.

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100% - $ %0.000 123-
fx 1
Default (Ari
|10
-BISA
4.田
N28
51
52
7) Can a binomial experiement be approximated to a normal if 10 trials are done and the probability of success is 0
53
34
ANS:
55
50
8) Suppose the probability that a tire is defective is 0.05. If 1000 tires are sampled, find:
57
a. the expected value of tires that will be defective in this sample
58
59
60
01
b. interpret this
02
63
04
c. Is this a discrete or continuous distribution? Explain.
05
07
9) You take a 50 question multiple choice exam. You forgot to study and have to guess at each question. EaC
68
69
a. What is your expected score?
70
71
nhahilitu that you get half the questions corect
Transcribed Image Text:Last edit was 16 hours ago 100% - $ %0.000 123- fx 1 Default (Ari |10 -BISA 4.田 N28 51 52 7) Can a binomial experiement be approximated to a normal if 10 trials are done and the probability of success is 0 53 34 ANS: 55 50 8) Suppose the probability that a tire is defective is 0.05. If 1000 tires are sampled, find: 57 a. the expected value of tires that will be defective in this sample 58 59 60 01 b. interpret this 02 63 04 c. Is this a discrete or continuous distribution? Explain. 05 07 9) You take a 50 question multiple choice exam. You forgot to study and have to guess at each question. EaC 68 69 a. What is your expected score? 70 71 nhahilitu that you get half the questions corect
Expert Solution
Step 1

Given
The probability that a tire is defective p=0.05
The total sample size n=1000

The number of tires being defective follow a binomial distribution with probability of success p and number of trails n.

a)The expected value in a binomial distribution with probability of success p and number of trails n is n*p 

The expected value of tires that will be defective in the sample =n*p=1000*0.05=50

b)
The expected value of 50 means in a sample of 1000 tires the expected defective tires are 50.

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