Consider a binomial experiment with n = 20 and p = 0.70. a. Compute f(12) (to 4 decimals). b. Compute f(16) (to 4 decimals).
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![Consider a binomial experiment with n = 20 and p = 0.70.
a. Compute f(12) (to 4 decimals).
b. Compute f(16) (to 4 decimals).
c. Compute P(x > 16) (to 4 decimals).
d. Compute P(x ≤ 15) (to 4 decimals).
e. Compute E().
f. Compute Var(x) (to 1 decimal) and a (to 2 decimals).
Var(x) =
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- Consider a binomial experiment with n = 14 and p = 0.3. a. Compute f(0) (to 4 decimals). f(0) = b. Compute f(5) (to 4 decimals). f(5) = c. Compute P(x 2) (to 4 decimals). P(x > 2) = e. Compute E(x) (to 1 decimal). E(x) = f. Compute Var(x) and o. Var(x) = (to 2 decimals) O = (to 2 decimals)If X~B(n=1000; P=.2) compute the following: SD(X) = 0x is : 8.21 9.45 12.65 16.467.16 Using an app or the Web on a smartphone. The Nielsen Company reports that U.S. residents aged 18 to 34 years spend an average of 2.83 hours per day using an app or the Web on a smartphones You wonder if this it true for students at your large university because you rarely see students not using their smartphones. You collect an SRS of n = 75 students and obtain 2 = 3.17 hours with s =1.36 hours. (a) Report the 95% confidence interval for u, the average number of hours per month that students at your university use the Internet on a computer. (b) Use this interval to test whether the average time for students at your university is different from the average, reported by Nielsen. Use the 5% significance level. Summarize your results.
- In a certain industry, roughly 40% of managers have an advanced degree (Master's or beyond). From a group of 10 managers, X represents the number of them who have an advanced degree. What model is most appropriate for X? A. Poisson B. Binomial C. Binomial with n=10 and p=0.40 D.Poisson with λ = 44.6. Consider the following history of six events in which operations span multiple ob- jects, assuming that A and B are initialized to 0: ev = inv(write(1)) on evz = inv(sum() evy = resp(urite()) from A evA = inv(write(2)) on evs = resp(write()) from B evg = resp(sum(2)) from A, B at P at P А, В at Pa at P at P at Ps A on B Show that this history is not linearizable but normal.Give the formula for p(x) for a binomial random variable with n= 6 and p = 0.4. -.. - O'O (x=0, 1, 2 ...D p(x) = (Simplify your answers. Use integers or decimals for any numbers in the equation.)
- Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces them into the economy. Suppose that each bill is used once per week (starting in week 1), and that each time a bill is used, it has a 1 in 5 chance of being detected as fake. If it is detected, it is removed. If not, it is used again. k n-1 (a) What does the expression E 1000 (" ) represent? Explain. n=1 Suggestion: If you are unsure, try writing out the expression for n = 1,2, 3 and consider what these might represent.3. 7 8. 10 An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is tht, then R (tht)=2. Suppose that the random variable X is defined in terms of R as follows: X=R-1. The values of X are given in the table below. tth hht hth thh ttt hhh htt tht Outcome Value of X 1 - 1 1 1 Calculate the values of the probability distribution function of X, i.e. the function py. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X Px (x) Submit A Continue © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center étv MacBook Air DII DD F10 80 F9 F7 F8 F6 F4 F5 F2 F3 公 云。 oloLet (X, Y ) be independent and uniformly distributed random variables (RVs) on the interval[0, 1]. Equivalently, let (X, Y ) be a point chosen uniformly at random in the unit box [0, 1] × [0, 1] on the(x, y) plane. Define the RV Z ≜ √X^2−Y^2 as the random distance of the point (X, Y ) from the origin (0, 0). Find the probability density function (PDF) for the RV Z.
- 8. The time (in minutes) that it takes a car mechanic to replace a car battery is a random variable X that follows an exponential distribution with mean 15 minutes. a) Find P(14 < X < 22). Round off your answer to two decimal places. x 22 1 P(14 < X <22) = √₂/1² 15 e 15dx = P(x < 22) — P(x < 14) x 15 122 = e 15 22 1 - e 14 or 0.8 = = 22 14 = −e 15 + e15 = 0.16254≈ 0.16 - (1 – b) Find the 80th percentile. Round off to the nearest whole number. 1 X S 15 14 e 15 t e 15 dt X 0.8 = 1 e 15 X e 15 = = 0.2 14 22 = e 15 e 15 = 0.16 x — = ln (0.2). This gives x = 24.14156 15Could you solve the questions in the screenshot? If you are going to use a program, please use R only Thank you.A box in a supply room contains 24 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 7 are rated 23-watt. Suppose that three of these bulbs are randomly selected. (Round your answers to three decimal places.) *****-+ in the probability it exactly two of the selected hulhe 1 na is the ph that all the -ina? "'? (d) If bulbs are selected one by one until a 23-watt bulb is obtained, what is the probability that it is necessary to examine at least 6 bulbs?
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