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)

QUESTIÓN 6 Assume that a researcher randomly 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. Answer the question using the table. Probabilities of Girls x(girls) P(x) x(girls)| P(x) x(girls) P(x) 0.061 0.000 0.122 10 1 0.001 6 0.183 11 0.022 2 0.006 7 0.209 12 0.006 3 0.022 0.183 13 0.001 4 0.061 9 0.122 14 0.000 Find the probability of selecting exactly 5 girls. O 0.022 O 0.122 O 0.061 O 0.001

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

A burglar alarm system has six fail-safe components. The probability of each failing is 0.05. Find these probabilities. Express your answers up to 4 decimal places. a. Exactly three will fail. Answer: P(X=3) = b. Fewer than two will fail. Answer: P(X<2) = c. None will fail. Answer: P(X=0) =

A small-town bakery has shelf space for five pieces of a perishable bread. The unit cost of baking each piece of bread is PhP 87 and it can be sold by the baker for PhP 142 each. The probabilities for the day's demand in pieces are given below: Demand (x) 1 4 f(x) 0.15 0.12 0.23 0.19 0.12 However, pieces of bread that were unsold during the day are sold to another bakery that makes pudding and french toast. This bakery buys the bread for PhP 53 each. But due to its limited capital, this bakery could purchase just up to 2 pieces of bread. What is the expected profit if the bakery bakes 3 pieces in a day?

Given that the switchboard of consultant's office receives on the average 0.9 calls per minute, find the probabilities that: (a) In a given minute there will be at least one incoming all. (b) Between 10.00 a.m. and 10.02 a.m. there will be exactly 2 incoming ca (c) During an interval lof 4 minutes there will be at most 3 incoming calls.

For each day that Sasha travels to work, the probability that she will experience a delay due to traffic is 0.2. Eachday can be considered independent of the other days. In the question,  What is the probability that Sasha’s first delay due to traffic will occur after the fifth day of work travel? Why is it that the answer is 0.32768? How did we get the solution?

Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. Let X = the number of children married people have. P(x) ХP(x) 0.15 1 0.25 0.35 4 0.10 0.05 6 (or more) 0.05 (a) Find the probability that a married adult has three children. (Enter your answer to two decimal places.) (b) In words, what does the expected value in this example represent? O the average number of children married adults in the country have the average number of children adults in the country have O the number of children married adults in the country have O the number of children adults in the country have (c) Find the expected value. (Enter your answer to two decimal place.) children (d) Is it more likely that a married adult will have two to three children or four to six children? How do you know? O it is more likely to have two to three children, with p = 0.35 O it is more likely to have four…