When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) D 0.660 0.287 0.048 0.004 4 0.001 0.000
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- When practicing basketball, Rachel has a 67% chance of making a free throw. She shoots 12 free throws. Let the random variable X be the number of free throws she makes. Find the probability she makes exactly 5 free throws. Give your answer to at least three nonzero decimal places. What is the expected value of X. Interpret this value.Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. OA. H= adult(s) (Round to one decimal place as needed.) OB. The table does not show a probability distribution. an example # 3 A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. D. No, the random variable x is categorical instead of numerical. E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct choice below…
- The number of needed repairs while under warranty for a Sure Cut lawnmower has a population distribution as shown in the probability histogram below. The population mean is also given. Population 0.6 - 0.5- 0.4- population mean: u=1.15 0.3- 0.2- Number of repairs ProbabilityApproximately 281,000,000 people over age five live in the United States. Of these people, 55,000,000 speak a language other than English at home. Of those who speak another language at home, 62.3% speak Spanish. Let: E = speaks English at home; E′ = speaks another language at home; S = speaks Spanish; Finish each probability statement by matching the correct answer. Probability Statements Answers a. P(E′) = i. 0.8043 b. P(E) = ii. 0.623 c. P(S and E′) = iii. 0.1957 d. P(S|E′) = iv. 0.1219Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. O A. O B. The table does not show a probability distribution. X P(x) 0 0.362 1 adult(s) (Round to one decimal place as needed.) 3 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. ☐B. No, not every probability is between 0 and 1 inclusive. C. No, the random variable x is categorical instead of numerical. D. No, the random variable x's number values are not associated with probabilities. E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct…
- Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. x P(x) 0 0.027 1 0.145 2 0.328 3 0.328 4 0.145 5 0.027 Question content area bottom Part 1 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, the random variable x is categorical instead of numerical. D. No, the sum of all the probabilities is not equal…In an election, suppose that 35% of voters support a school levy increase. If we poll 220 of these voters at random, the probability distribution for the proportion of the polled voters that support a school levy increase can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places .A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05
- Find the mean of the given probability distribution. The probabilities that a batch of 4 computers will contain 0,1,2,3, and 4 defective computers are 0.5997, 0.3271, 0.0669, 0.0061, and 0.0002,respectively. Round answer to the nearest hundredth.Find the probability P(Ec) if P(E)=0.17.Adrian plays on the Varsity Boys basketball team. He successfully scores approximately 38% of his attempted shots. In the first half of a given basketball game, Adrian takes 6 attempted shots on net. What kind of probability distribution does this situation represent? A. Hypergeometric B. Binomial C. uniform D. Both Binomial and Hypergeometric E. none of these