x~N(55,36). find p(x>72) and p(50<=x<=68)

Expert Solution

orchestra answered 2 years ago

Find the following probabilities. A.) P(X=5), X FOLLOWING A BINOMIAL DISTRIBUTION, WITH N=50 AND P=.7. B.)...

Find the following probabilities. A.) P(X=5), X FOLLOWING A BINOMIAL DISTRIBUTION, WITH N=50 AND P=.7. B.) P(X = 5), X following a Uniform distribution on the interval [3,7]. c.) P(X = 5), X following a Normal distribution, with µ = 3, and σ = .7. (To complete successfully this homework on Stochastic Models, you need to use one of the software tools: Excel, SPSS or Mathematica, to answer the following items, and print out your results directly from the software....

Using the normal distribution, calculate the following probabilities: a) P(X≤16|n=50, p=0.70) b) P(10≤X≤16|n=50, p=0.50)

9. Let X ~ N(194; 24). Find: (a) P(X <= 218) (b) P(145 < X <...

9. Let X ~ N(194; 24). Find: (a) P(X <= 218) (b) P(145 < X < 213) (c) The first quartile for X (d) The third quartile for X (e) the IQR for X (f) P(|X-194|> 41) 10. A soft drink machine discharges an average of 345 ml per cup. The amount of drink is normally distributed with standard deviation of 30 ml. What fraction of cups will contain more than 376 ml? (Keep 4 decimals)

Let X ~ N(190; 23). Find: (a) P(X <= 213) (b) P(148 < X < 202)...

Let X ~ N(190; 23). Find: (a) P(X <= 213) (b) P(148 < X < 202) (c) The first quartile for X (d) The third quartile for X (e) the IQR for X (f) P(|X-190|> 34

Let X ~ N(196; 19). Find: (a) P(X </= 223) (b) P(143 < X < 206)...

Let X ~ N(196; 19). Find: (a) P(X </= 223) (b) P(143 < X < 206) (c) P(|X-196|> 30)

Let x be a binomial random variable with n=7 and p=0.7. Find the following. P(X =...

Let x be a binomial random variable with n=7 and p=0.7. Find the following. P(X = 4) P(X < 5) P(X ≥ 4)

v. Find the margin of error given the following: 99% confidence interval; n = 68, x...

v. Find the margin of error given the following: 99% confidence interval; n = 68, x bar = 4156 and Std dev. = 839. ________ a. 1298 b. 237 c. 262 d. 8 vi. When do Type II errors occur?________ a. We decide to reject the null hypothesis when the null hypothesis was actually true. b. We fail to reject the null hypothesis when the null hypothesis is actually false. c. They occur in both cases. vii. A standard score...

Suppose X = 20, n = 50 a. Calculate the estimate for p, the true probability...

Suppose X = 20, n = 50 a. Calculate the estimate for p, the true probability of success b. Calculate and interpret a 90% Confidence interval for the true probability of success. c. You would like to know if p is actually greater than 1/3, so you test the following null hypothesis: H0: p ≤ 1/3 What is the alternative hypothesis? Conduct and interpret this test at the 0.05 significance level.

Suppose that x has a binomial distribution with n = 50 and p = 0.6, so...

Suppose that x has a binomial distribution with n = 50 and p = 0.6, so that μ = np = 30 and σ = np(1 − p) = 3.4641. Approximate the following probabilities using the normal approximation with the continuity correction. (Hint: 25 < x < 39 is the same as 26 ≤ x ≤ 38. Round your answers to four decimal places.) (a) P(x = 30) (b) P(x = 25) ( c) P(x ≤ 25) (d) P(25 ≤...

Binomial Distribution. Suppose that X has a binomial distribution with n = 50 and p =...

Binomial Distribution. Suppose that X has a binomial distribution with n = 50 and p = 0.6. Use Minitab to simulate 40 values of X. MTB > random 40 c1; SUBC > binomial 50 0.6. Note: To find P(X < k) for any k > 0, use ‘cdf’ command; this works by typing: MTB > cdf; SUBC > binomial 50 0.6. (a) What proportion of your values are less than 30? (b) What is the exact probability that X will...

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