A manufacturer tested a sample of semiconductor chips and found that 35 were defective and 190 were good.If additional tests are to be conducted with random samples of 160 semiconductor chips,find the mean for the number of defects in these groups of 160 (rounded to nearest whole number).
A)56
B)35
C)29
D)25
E)16

Question

Quizplus · Accepted Answer

To find the mean for the number of defects in these groups of 160, we need to first find the probability of a chip being defective in the original sample, which is:

p = number of defective chips / total number of chips
p = 35 / (35 + 190) = 0.155

Now, we can use the formula for the mean of a binomial distribution:

mean = n*p

where n is the sample size and p is the probability of success (in this case, the probability of a chip being defective).

Substituting the given values, we get:

mean = 160 * 0.155 = 24.8

Rounding this to the nearest whole number, we get 25. Therefore, the best choice is D.

A Manufacturer Tested a Sample of Semiconductor Chips and Found