Question

A study found that 36% of the assisted reproductive technology (ART) cycles resulted in pregnancies. Twenty-six percent of the ART pregnancies resulted in multiple births. (a) Find the probability that a random selected ART cycle resulted in a pregnancy and produced a multiple birth. (b) Find the probability that a randomly selected ART cycle that resulted in a pregnancy did not produce a multiple birth.(c) Would it be unusual for a randomly selected ART cycle to result in a pregnancy and produce a multiple birth?

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

assisted reproductive technology (ART) cycles:

pregnancies = 36%

pregnancies resulted in multiple births = 26%

Step 02:

a.

p (pregnancies) = 36% = 36/100 = 0.36

pregnancies resulted in multiple births = 26% = 26/100 = 0.26

p(pregnancies resulted in multiple births) = 0.36*0.26 = 0.0936

b.

p (pregnancy did not produce a multiple birth) = 1 - 0.0936 = 0.9064

c.

Indeed, the probability of multiple pregnancies is low 9.36%.

That is the full solution.