Question

A car is known to be 88% likely to pass inspection at a certain Motor Vehicle Agency inspection office. What is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this Motor Vehicle Agency inspection office? A. 0.88 B. 0.6663 C. 0.3337 D. 0.4032

Name: a car is known to be 88 likely to pass inspection at a certain motor vehicle agency inspection office what is the probability that at least 90 cars pass inspection if a random sample of 100 67773
Uploaded: 2022-08-18T14:04:15-08:00
Duration: 2 min 44 s
Channel: Penny Riley
Description: a car is known to be 88 likely to pass inspection at a certain motor vehicle agency inspection office what is the probability that at least 90 cars pass inspection if a random sample of 100 67773

          A car is known to be 88% likely to pass inspection at a certain Motor Vehicle Agency inspection office. What is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this Motor Vehicle Agency inspection office?
A. 0.88
B. 0.6663
C. 0.3337
D. 0.4032

Added by Ian L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

08/18/2022

Step 1

Using the binomial probability formula, we have: \[ P(X = 90) = \binom{100}{90} \times 0.88^{90} \times (1-0.88)^{100-90} \] \[ P(X = 90) = \binom{100}{90} \times 0.88^{90} \times 0.12^{10} \] \[ P(X = 90) = 0.108033 \] Show more…

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A car is known to be 88% likely to pass inspection at a certain Motor Vehicle Agency inspection office. What is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this Motor Vehicle Agency inspection office? A. 0.88 B. 0.6663 C. 0.3337 D. 0.4032