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- According to a health publication, 16.5% of persons under the age of 65 have no health insurance coverage. Suppose that four persons under the age of 65 are randomly selected. a. Determine the probability distribution for the number, X, who have no health insurance coverage. b. Determine and interpret the mean of X.5. The probabilities of a machine manufacturing 0, 1, 2, 3, 4, and 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005 respectively. Find the mean of the probability distribution.Construct a probability distribution for tossing two coins. Let x represents the number of tails.
- In the binomial distribution the important point is that the two a. Events and expected b. Events are complementary C. All Above d. outcomes are complementaryA factory manager is considering whether to replace a temperamental machine. A review of past records indicates the following probability distribution for the number of breakdowns of this machine in a week.Number of breakdowns 0 1 2 3 4Probability 0.10 0.26 0.42 0.16 0.06a. Find the mean and standard deviation of the number of weekly breakdowns.b. It is estimated that each breakdown costs the company $1,500 in lost output. Find the mean and standard deviation of the weekly cost to the company from breakdowns of this machine.A citrus farmer has observed the following distribution for the number of oranges per tree. How many oranges does he expect on the average per tree? Oranges 25 30 35 40 Probability 0.10 0.40 0.30 0.20
- 3. Construct a probability distribution for the data and draw a histogram for the following: a. A die is loaded in such a way that the probabilities of getting 1, 2, 3, 4, 5, and 6 are 1/2, 1/6, 1/12, 1/12, 1/12, and 1/12 respectively. P(X) b. A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill. P(X)Warren tosses 5 coins. Let A be the random variables representing the number of tails. Construct the probability distribution and draw the histogram.Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. (X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)