The sum of two numbers is 186.The difference between the same numbers is 32. What are the two numbers?
1 answer:
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The indicated probability is 0.07548.
<h3>When can we use the normal approximation to the binomial distribution?</h3>The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with , as long as .
we have that:
n = 84, p = 0.4: P(X> 26)
np = 84 x 0.4 = 33.6
n(1 - p) = 84 x 0.6 = 50.4 .
we can use the online binomial probability distribution calculator :
P(X≥ 26 ) = 0.07548
Hence the indicated probability is 0.07548.
More can be learned about the normal approximation to the binomial distribution at;
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