Please answer number 17 a. Find P(X ≤ 0).b. Find P(X > 2).c. Find P(4≤x≤ 10).d. Find P(6≤x≤14).16. Let X be normally distributed with mean μ = 120 and standarddeviation σ = 20.a. Find P(X ≤86).b. Find P(80≤x≤ 100).C.Find x such that P(X ≤x) = 0.40.d. Find x such that P(X>x) = 0.90.17. Let X be normally distributed with mean μ = 2.5 and standarddeviation σ = 2.a. Find P(X > 7.6).. نفـFind P(7.4 ≤x≤ 10.6).Find x such that P(X>x)=0.025.d. Find x such that P(x x) = 0.025.C.Find x such that P(2500 ≤x≤x) = 0.1217.d. Find x such that P(X ≤x) = 0.4840.

Step 1: a. Suppose the random variable of interest is X. According to the question, the random…

Answered: a. Find P(X ≤ 0). b. Find P(X > 2). c.…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Suppose that you enter a fantasy basketball league. Suppose that the 2022 team budget, say X, is randomly drawn from a uniform distribution on the interval [90, 210], where the unit is U.S. million dollars. In addition, suppose that after the value X = x has been observed (90 < x < 210), the 2023 team budget, say Y, is randomly drawn from a uniform distribution on the interval [x, 210]. In other words, the 2023 budget is at least as large as the 2022 budget. (a) For any given value of x (90 < x < 210), obtain E[Y|X = x]. (b) In view of part (i), obtain E[Y|X]. (c) What is the difference between E[Y|X = x] and E[Y|X]? (d) Obtain E[Y]. That is, what is the expected value of your 2023 fantasy basketball budget? (e) Golden State Warriors won the 2022 NBA finals. Their estimated 2022 payroll is about $194 million. Would your 2023 fantasy basketball budget be on average larger than Golden State Warriors' 2022 payroll? Explain briefly.
17. Let X be normally distributed with mean μ = 2.5 and standard deviation σ = 2. a. Find P(X> 7.6). b. Find P(7.4≤x≤ 10.6). 21 C. Find x such that P(X>x) = 0.025. d. Find x such that P(X ≤x≤2.5)= 0.4943. and stan-
16. Let X be normally distributed with mean μ = 120 and standard deviation σ = 20. a. Find P(X86). b. Find P(80 ≤x≤ 100). ة ن فـ d. Find x such that P(X ≤x) = 0.40. Find x such that P(X>x) = 0.90.
Assume y follows theX distribution. Assume c₁ and c₂ satisfy P(Y> c₁) = 0.05 and P(Y < c₂) (b). = 0.05. Then C₁ = (a) and C2 =
Parts d, e, and f
4. Let X be the g.p.a. of a randomly chosen graduate student at CSU East Bay. Assume that E(X) = 3.5 and Var(X) = 0.03. Let X be the sample mean of n = 20 randomly selected graduate students in this class (a) Find Var(X). (b) Find P(3.39 ≤X ≤ 3.6), approximately. (c) What assumptions have you made?
Let. X have a uniform distribution on the interval (1,3). What is the proba- bility that the sum of 2 independent observations of X is greater than 5?
I need help with parts “c”, “d, and “e” thanks.
6 The blood pressure of a diabetic taken at random has a normal distribution with mean 126 and variance 60. The blood pressure of a non-diabetic taken at random has a normal distribution with mean 121 and variance 40. Let X d be the average blood pressure of four diabetics taken at random and X n be the average blood pressure of four non-diabetics taken at random. Find Prob( X d > X n). Hint: Define D by D= X d - X n, find the mean and the variance of D and then calculate the probability that D>0.
Let X1, X2,...X100 be the annual average temperature in Paris in the years 2001, 2002, ..., 2100, respectively. Assume that average annual temperatures are sampled i.id. from a continuous distribution.(Note: For this problem, we assume the temperature distribution doesn't change over time. With global warming, this is not a good assumption.)A year is a record high if its average temperature is greater than those in all previous years (starting with 2001), and a record low if its average temperature islower than those in all previous years. By definition, the year 2001 is both a record high and a record low.1. In the 20 century (the years 2001 through 2100, inclusive), find the expected number of years that are either a record high or a record low.2. Let N be an r.v. representing the number of years required to get a new record high after the year 2001. Find P(N > n) for all positive integers n, and use thisto find the PMF of N.3. Check answers to parts (1) and (2).4. Explain how…
g. Calculate V(X) and σx. h. If the borrower is charged an amount h(X)=X² when checkout duration is X, compute the expected charge E[h(X)].
The duration, x, of a monthly faculty meeting is uniformly distributed between 30 and 80 minutes. Which of the following statements is true? (choose all that apply). a. Prob (x>80) = 0 b. Prob (x<85) = 1 c. Prob (x>35) = 1 d. Prob (x <30) < 0

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS