8. Consider the following probability distribution and compute its expectation value: xP(x) 3 42 4 .29...
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)
(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 =
29. Let Z be a standard normal random variable. (a) Compute the probability F(a) = P(2? < a) in terms of the distribution function of Z. (b) Differentiating in a, show that Z2 has Gamma distribution with parameters α and θ = 2.
A. Random variable X has a binomial distribution, B(36, 0,5). Use the normal approximation, Compute P[15Kx<19)- B. Random variable X has a normal distribution, N(50, 100) Compute P(X < 41 or X>62.0)
3. Compute mean value for the following probability distribution. Show the result of calculations and circle one of the multiple choice answe P(x) 0.35 0.30 0.25 0.10 A) μ 0.90 C) μ 1.10 Use Binomial Distribution to solve problems 4-5 4. In a study of brand recognition, 70% of consumers probability that among 5 randomly selected consumers, exactly 3 will (Use binomial distribution with parameters n = 5 and p = 0.70) Show the result of calculations and circle one...
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=5 p=0.2 x=2 p(2)=??
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 3), n = 9, p = 0.3 Probability = (b) P(X > 4), n = 5, p = 0.3 Probability = (c) P(X<5), n = 7.p = 0.35 Probability = (d) P(X > 6), n = 7, p = 0.3 Probability =
Consider the given Probability Distribution. Then select all true statement/s. XP(X) -------------------------------------------------------------- 5|0.27 6|0.23 7|0.23 8|0.17 9|0.10 10|0.00 Compute the expected value. SELECT ALL APPLICABLE CHOICES A)μ=2.7 B)μ=6.6 C)μ=3.4 D) None of These
5. Compute the following binomial probabilities directly from the formula for b(x:n, p) a. 6(3:8, 35) b. b3< X < 5) when n=7 and p = .6 c. b(15 x) when n = 9 and p = .1
Data analysis 5. (10 points) Please determine the following probability given the Z value using the standard normal distribution table a) P(Z < 1.28) b) P(Z>1.45)