The geowall team measured the strength of paper strips by applying a force until they broke. they tested 5 strips and found an average strength of 12.9 pounds with a standard deviation of 1 pound. because of the small sample size, we cannot assume a normal distribution. what is the probability that a strip breaks with only 11 pounds of applied force? (a) 0.065 (b) 0.029 (c) 1.07 × 10? 5 (d) 0.058 (e) none of the above

Step-by-step explanation:

Given

mean

Standard deviation

From z table

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

the answer is d

step-by-step explanation: