14. A machine that produces stampings for automobile engines is malfunctioning a

Question

14. A machine that produces stampings for automobile engines is malfunctioning and producing 18% defectives The defective and non defective stampings proceed from the machine in a random manner. If the next 5 stampings are tested, find the probability that The next three stampings will be defective: P( 3) Show your work. 4 pts a. b. All five stampings will be defective: Pox-5) Show your work.4pt c More than 3 stampings will be defective: Px> 3) Show your work. 5 pts exam grade using the table 15. Construct a scatterplot that captures the relationship between hours studied and below: Comment on the relationship between the 2 variables. 5 pts Hoars Esxan stadied grade 2 88 0 67 7 81 3 90 .5 82 0 58 4 95

Explanation / Answer

Solution:

given in the question

n= 5

P = 0.18

1-p = 0.82

P(X=3) = 5C3 *(0.18)^3 * (0.82)^2

= 10 * 0.005832 * 0.6724

= 0.039214 or 3.9214%

P(X=5) = 5C5 *(0.18)^5 * (0.82)^0

= 1 * 0.000189 *1

= 0.000189 or 0.0189%

P(X>3) = 1-P(X>4) - P(X>5)

P(X>4) = 5c4 * (0.18)^4 * (0.82)^1

P(X>4) = 5* 0.00105 * 0.82

= 0.004304

P(X>3) = 1- 0.004304 - 0.000189 = 0.995507 or 99.55%

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