For a binomial probabiüity function with P=0.5 and n=14, find the probabilty that the nurmber of successes is equal to 7.
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For a binomial probabiüity
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- If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)For the binomial probability with n=16 and p=0.5a) Find the exact binomial probability P(x=10),you may use a binomial probability tableor the formula P(x)= b)Find the approximate probability P(x=10) using normal distribution as anapproximation to a binomial distributionFor binomial distribution, E(X) is the expectation. How to induce E(X^2) in terms of E(X). Thanks
- If Y has a binomial distribution with n trials and a probability of success p, show that the functiongenerator of moments for Y is: m(t) = (pe' +q)n with q = 1− pCompute the probability of X successes given x = 12 and p = 0.45 using the binomial formula. d. P(4<X<7) e. P(5<X<7)Use the normal approximation to the binomial to find the probability for n=50, p=0.7, and x=39. Round z-value calculations to 2 decimal places and final answer to 4 decimal places The probability is