Question
A study found that 38% of the assisted reproductive technology(ART) cycles resulted in pregnancies. Twenty-five 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? Explain. (a) The probability that a randomly selected ART cycle resulted in a pregnancy and produced a multiple birth is Round to the nearest thousandth as needed.) (b) The probability that a randomly selected ART cycle that resulted in a pregnancy did not produce a multiple birth is Round to the nearest thousandth as needed.) (c) Would it be unusual for a randomly selected ART cycle to result in a pregnancy and produce a multiple birth? Explain. Choose the correct answer below. 0 A. No, this is not unusual because the probability is not less than or equal to 0.05. O B. Yes, this is unusual because the probability is not less than or equal to 0.05 O C. No, this is not unusual because the probability is less than or equal to 0.05. 0 D. Yes, this is unusual because the probability is less than or equal to 0.05 Click to select your answer(s).
Explanation / Answer
Answer to the question is as follows:
a. P( ART resulted in pred and produced in multiple birth) = .38*.25 = .095
b. P( ART resulted in preg and did not produce in a multiple birth) = .38*(1-.25) = .38*.75 = .285
c. P( a randomly selected ART cycle to result in pregrancy ) = .25 , which is much more than .05. C is right option. So, No - this is not unusual because the probability is less than or equal to .05
