Question

In a recent year, about 37% of all infants born in a country were conceived through in-vitro fertilization (IVF). Of the IVF deliveries, about twenty- four percent resulted in multiple births.(a) Find the probability that a randomly selected infant was conceived through IVF and was part of a multiple birth.(b) Find the probability that a randomly selected infant conceived through IVF was not part of a multiple birth.(c) Would it be unusual for a randomly selected infant to have been conceived through IVF and to have been part of a multiple birth? Explain.(a) The probability that a randomly selected infant was conceived through IVF and was part of a multiple birth is enter your response here.(Round to the nearest thousandth as needed.)(b) The probability that a randomly selected infant conceived through IVF was not part of a multiple birth is enter your response here.(Round to the nearest thousandth as needed.)(c) Would it be unusual for a randomly selected IVF cycle to result in a pregnancy and produce a multiple birth? Explain. Choose the correct answer below. A.Yes, this is unusual because the probability is not less than or equal to 0.05. B.No, this is not unusual because the probability is less than or equal to 0.05. C.No, this is not unusual because the probability is not less than or equal to 0.05. D.Yes, this is unusual because the probability is less than or equal to 0.05.

Answer 1

(a) 0.088

(b) 0.76

(c) C. ​No, this is not unusual because the probability is not less than or equal to 0.05

Step-by-step explanation:

Part (a)

We know that 37% of all infants born were conceived Through IVF and from those 24% resulted in multiple births. Then, the probability that a randomly selected infant was conceived through IVF and was part of multiple births is equal to the multiplication of these percentages, so

P = 0.37 x 0.24 = 0.088

Part (b)

If 24% of infants conceived through IVF are part of multiple births, the complement is the percentage of infants conceived through IVF that are not part of multiple births. So, the answer is

P = 1 - 0.24 = 0.76

Part (c)

Finally, we can consider something unusual when the probability is small. Since the probability that a randomly selected infant is conceived through IVF and to was part of multiple​ births is 0.088 and 0.088 is greater than 0.05, we can say that the answer is:

C. ​No, this is not unusual because the probability is not less than or equal to 0.05

So, the answers are

(a) 0.088

(b) 0.76

(c) C. ​No, this is not unusual because the probability is not less than or equal to 0.05