A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: F(x) = 0 x < 0 0.09 0≤x < 1 0.21 1 3) (c) P(2 ≤ x ≤ 5) (d) P(2 < X < 5) Need Help? Read It

The variable smokes is a binary variable equal to one if a person smokes, and zero otherwise. Using the data in SMOKE, we estimate a linear probability model for smokes: smokes = .656 – .069 log(cigpric) + .012 log(income) – .029 educ (.855) (.204) (.026) (.006) [.856] [.207] [.026] + .020 age – .00026 age? – .101 restaurn – .026 white [.006] (.006) (.00006) (.039) (.052) [.005] [.00006] [.038] [.050] n = 807, R² = .062. The variable white equals one if the respondent is white, and zero otherwise; the other independent vari- ables are defined in Example 8.7. Both the usual and heteroskedasticity-robust standard errors are reported. (i) Are there any important differences between the two sets of standard errors? (ii) Holding other factors fixed, if education increases by four years, what happens to the estimated probability of smoking? (iii) At what point does another year of age reduce the probability of smoking? (iv) Interpret the coefficient on the binary variable restaurn (a dummy…

A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: F(X) = (b) Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (c) 0 x 3) P(2 ≤x≤5) P(2 < X <5)

According to a survey, the probability that a randomly selected worker primarily drives a van to work is 0.845. The probability that a randomly selected worker primarily takes public transportation to work is 0.051. Complete parts (a) through (d). (a) What is the probability that a randomly selected worker primarily drives a van or takes public transportation to work? P(worker drives a van or takes public transportation to work): %3D (Type an integer or decimal rounded to three decimal places as needed.) (b) What is the probability that a randomly selected worker primarily neither drives a van nor takes public transportation to work? P(worker neither drives a van nor takes public transportation to work) = (Type an integer or decimal rounded to three decimal places as needed.) (c) What is the probability that a randomly selected worker primarily does not drive a van to work? P(worker does not drive a van to work) =| (Type an integer or decimal rounded to three decimal places as needed.)…

Assume the following informaon. The height of adult women in the city of Boston can be characterized with a normal distribuon with mean 65 inches and standard deviaon 3 inches. The height of adult women in the city of Seoul can be characterized with a normal distribuon with mean 63 inches and standard deviaon 2 inches. Alice lives in Boston and is 66.5 inches tall. [1] Find the probability that a randomly chosen woman in the city of Boston is taller than Alice. [2] Assume you randomly choose 1 women from the city of Boston and 1 women from the city of Seoul. Find the probability that the women from Boston is taller than the women from Seoul. [3] How many women from the city of Seoul would you have to pick so that, with at least 95% probability, their average height is less that 1 inch above or below the populaon mean?

Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).

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Use the appropriate formula to answer the question: • Independent Probability: P(A and B) = P(A) x P(B) • Conditional Probability: P(A n B) = P(A) x P(B|A) • Addition Rule: P(A or B) = P(A) + P(B) – P(A and B) True or False: Events A and B are independent? P(A) = 0.60 P(B) = 0.70 P(A and B) = 0.42 True False

Assume that a researcher randomly Probabilities of Girls O selects 14 newborn babies and counts the number of girls selected x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. x(girls) P(x) x(girls) P(x) x(girls) P(x) 0 0.000 5 0.122 10 0.061 1 0.001 6 0.183 11 0.022 20.006 70.209 12 0.006 Find the probability of selecting 9 or more girls. 3 0.022 80.183 13 0.001 4 0.061 90.122 14 0.000 ОА. 0.122 О В. 0.061 ОС. 0.212 O D. 0.001 Click to select your answer.

Suppose that the probability is 0.63 that a car stolen in a certain Western city will be recovered. Use the com-puter printout of Figure 1 to find the probability that at least 8 of 10 cars stolen in this city will be recov-ered, using (a) the values in the P(X = K) column;(b) the values in the P(X LESS OR = K) column.