Question
Asked Jan 29, 2020
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Assume a cardiovascular surgeon has implanted 13 pacemakers in his patients from a new batch of pacemakers that have been found to have a defect that causes them to stop working. If each pacemaker has a 23.47% chance that it will work, what is the probability that all the patients’ pacemakers will work the way they are supposed to?

A) 6.556e-9

B) .0527

C) .4730

D) .5270

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Expert Answer

Step 1

Binomial distribution:

The binomial distribution gives the probability of number of successes out of n trials in a series of Bernoulli trials. The probability mass function (pmf) of a binomial random variable X is given as:

Statistics homework question answer, step 1, image 1
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Step 2

It is given that 13 pacemakers are implemented for the patients and each pacemaker has a 23.47% probability that it will work. The random variable X denotes that the number of pacemakers...

Statistics homework question answer, step 2, image 1
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