Given a population where the probability of success is p = 0.40, calculate the probabilities below if a sample of 600 is taken. a. Calculate the probability the proportion of successes in the sample will be less than 0.42. b. What is the probability the proportion of successes in the sample will be greater than 0.44? a. The probability the proportion of successes in the sample will be less than 0.42 is (Round to four decimal places as needed.)|

Suppose a random sample of n = 350 teenagers 13 to 17 years of age was asked if they use social media. Of those surveyed, 280 stated that they do use social media. Find the sample proportion of teenagers 13 to 17 years of age who use social media. The sample proportion is p= (Round to three decimal places as needed.) ...

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I need help solving d-f

Toss five fair coins and let x equal the number of heads observed. a. Identify the sample points associated with this experiment, and assign a value of x to each sample point. Then list all the possible values of x. b. Calculate p(x) for the values x = 1 and x = 2. c. Construct a probability histogram for p(x). d. What is P(x = 1 or x = 4)?

There are 20 different pairs of shoes. Pick at random 10 shoes. Let X be the number of paired shoes, M be the number of shoes that are left-foot, N be the number of shoes that are right-foot.   (a)  Find the distribution of X. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula   (b)  Let Y = M – N. Give all possible values of Y. Find the distribution of Y. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula.   (c)  let Z = |Y|, compute E(X), Var(X), E(Z) and Var(Z). Show your problem-solving process (not just the answer), keep 2 decimal places for E(X) and E(Z), and use the approximate values for the calculations of Var(X) and Var(Z).