Assume that a procedure yields a binomial distribution with a trial repeated n=20 times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of k=2 successes given the probability p=3/20 of success on a single trial. (Report answer accurate to 4 decimal places.) P(X=k)= ____ 2. Assume that a procedure yields a binomial distribution with a trial repeated n=12 times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of k=8 successes given the probability q=0.52 of success on a single trial. (Report answer accurate to 4 decimal places.) P(X=k)= 3. The television show 50 Minutes has been successful for many years. That show recently had a share of 23, which means, that among the TV sets in use, 23% were tuned to 50 Minutes. An advertiser wants to verify that 23% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast. Find the probability that none of the households are tuned to 50 Minutes. P(none) = Find the probability that at least one household is tuned to 50 Minutes. P(at least one) = Find the probability that at most one household is tuned to 50 Minutes. P(at most one) =
Questions:
1. Assume that a procedure yields a binomial distribution with a trial repeated n=20 times. Use either the binomial
P(X=k)= ____
2. Assume that a procedure yields a binomial distribution with a trial repeated n=12 times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of k=8 successes given the probability q=0.52 of success on a single trial. (Report answer accurate to 4 decimal places.)
P(X=k)=
3. The television show 50 Minutes has been successful for many years. That show recently had a share of 23, which means, that among the TV sets in use, 23% were tuned to 50 Minutes. An advertiser wants to verify that 23% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.
Find the probability that none of the households are tuned to 50 Minutes.
P(none) =
Find the probability that at least one household is tuned to 50 Minutes.
P(at least one) =
Find the probability that at most one household is tuned to 50 Minutes.
P(at most one) =
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