QUESTION 9 Solve the problem A company manufactures batteries in batches of 15 a

Question

QUESTION 9 Solve the problem A company manufactures batteries in batches of 15 and there is a 3% rate of defects. Find the standard deviation for the number of defects per batch 0.2 0.4 43.7 0.7 QUESTION 10 Find the indicated probability. Round to three decimal places. An airline estimates that 946 of people booked on their flights actually show up. If the airline books 73 people on a flight for which the maximum number is 71, what is the probability that the number of people who show up will exceed the capacity of the plane? 0.051 0.179 0.062 0.011

Explanation / Answer

solution:-
9. option D. 0.7
given n = 15 , p = 0.03 then q = 1 - p = 1 - 0.03 = 0.97
standard deviation = sqrt(n*p*q)
= sqrt(15*0.03*0.97)
= 0.7

10. option C. 0.062
given n = 73 , p = 0.94 , x= 71
p(x > 71) = 0.062

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