2. for a comparison of the rates of defectives produced by two assembly lines, independent random samples of 100 items were selected from each line. line a yielded 18 defectives in the sample, and line b yielded 12 defectives. (a) is there evidence here to suggest that line a produces a higher proportion of defectives than b? perform an appropriate test. (b) find the approximate power function of the test

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734

you divide them and then you get the answer i took this class this year

step-by-step explanation:

substitute,

circle 1 = 5

circle 2 = 20

circle 3 = 44

in this case no matter how you add, you will always get a perfect square..

hence proved

happy to

pls mark as brainliest