QUESTION 8 Let x be a binomial random variable with n=5 and p=0.7. Find P(X <=...
2. Let X be a binomial random variable with n 18 and p 0.48. Find (а) Р(X — 17) (b) Р(14 < X < 22) (c) the largest integer m such that P(X > m) > 0.7. You could do this by trial-and-error or by automating the process with for loop
5. A random variable X follows a binomial distribution with n 35 and p-4. Use the normal approximation to the binomial distribution to find P(X < 16)
7. If x is a binomial random variable find the following probabilities: a) P(x = 2) n = 10 and p = .40 b) P (x < 5) for n = 15 and p = .60 8. Find pl, oland o for n = 25 and p = .50
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 2), n = 9, p = 0.4 Probability = (b) P(X > 3), n = 8, p = 0.35 Probability = (c) P(X < 2), n = 5, p = 0.1 Probability = (d) P(X 25), n = 9, p = 0.5 Probability =
(1 point) If z is a binomial random variable, compute P(C) for each of the following cases: (a) Px <6), n=8, p = 0.3 P(x) = (b) P(x > 2), n = 3, p=0.5 P(x) = (c) Pa<5), n = 8, p=0.6 P(x) = (d) P(x > 2), n = 3, p = 0.7 P(x) =
4. Consider a binomial random variable with n = 5 and p = 0.7. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.) 5. Let x be a binomial random variable with n = 8, p = 0.2. Find the following value. 6. Let x be a binomial random variable with n = 8, p = 0.3. Find the following value. (Round your answer to three decimal places.)
Example 46. Let X be a random variable with PDF liſa - 1), 1<a < 3; f(a) = { à(5 – a), 3 < x < 5; otherwise. Find the CDF of X. @ Bee Leng Lee 2020 (DO NOT DISTRIBUTE) Continuous Random Var Example 46 (cont'd). Find P(1.5 < X < 2.5) and P(X > 4).
5. Imagine a random variable X that has a binomial distribution with n = 12 and p = 0.4. Determine the following probabilities a) P(X 5) b) P(X s2) c) P(X9) d) P (3 X<5)
Problem 7 (15 points). Let X be random variable with the binomial distribution with parameters n and 0 <p<1. (1) Show that **- 1 = 2* for any 1 Sxsn. (2) Show that when 0 < x < (n + 1)p, P(X = x) is an increasing function x and for (n + 1)p <x Sn, P(X = x) is a decreasing function x. (3) A certain basketball player makes a foul shot with probability 0.80. Determine for whal value...
7. Let X be a binomial random variable following 16P{X = 1} = 4Var(X) = E(X). Find E(X). b(np), 0 < p < 1 such that, [8 marks) 2 probabilitar 5 phe