Total's 10 - 8) 5 7 8 The formula for computing variance of probability distribution P(x...
8. Consider the following probability distribution and compute its expectation value: xP(x) 3 42 4 .29 5 29 9. Consider a binomial distribution with parameters n 5 and p 0.2. Compute P(X-2) 10. Compute P(Z < 1.42)
Consider a hypergeometric probability distribution with n=7, R=9, and N=18. a) Calculate P(x=5). b) Calculate P(x=4). c) Calculate P(x less than or equals1). d) Calculate the mean and standard deviation of this distribution. a) P(x=5)= nothing (Round to four decimal places as needed.)
QUESTION 26 Using the Binomial Probability formula below, find PCX)when n 10, X -7,p 0.45, and q 0.55. n! O A. .0746 O B..0080 O C..0037 O D..1665 QUESTION 27 using the Binomial Probability table, find P(X) when n # 17, X# 10, and p-0.3 ○ A. 0.1 20 O B. 0.013 ° C. 0.009 ○ D. 0.225
Consider the given Probability Distribution. Then select all true statement/s. XP(X) -------------------------------------------------------------- 5|0.27 6|0.23 7|0.23 8|0.17 9|0.10 10|0.00 Compute the expected value. SELECT ALL APPLICABLE CHOICES A)μ=2.7 B)μ=6.6 C)μ=3.4 D) None of These
8Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(x) using the normal distribution and compare the result with the exact probability. na 72. p-o.77, and x-56 Cli Cli e (page 1).1 page 2).2 For n-72, p-0.77, and x-56, find P(x) using the binomial probability distribution. P(x)- Can the normal distribution be used to approximate this probability? Round to four decimal places as needed.) O A....
Let x be the binomial random variable with n=10 and p = 9 a. Find P(x = 8) and create a cumulative probability table for the distribution. b. Find P( x is less than or equal to 7) and P(x is greater than 7) c. Find the mean, u, the standard deviation, o, and the variance. d. Does the Empirical rule work on this distribution for data that is within one, two or three standard deviations of the mean? Explain....
compute p(x) using the binomial probability formula. then determine whether the normal distribution can be used to estimate this probability. if so, p(x) using the normal distribution and compare the result with the exact probability. n=78, p= 0.83, and x=60 for n= 78, p= 0.83, and x=60, find P(x) using the binomial probability distribution. P(x) _. (round to four decimal places as needed.) can the normal distribution be used to approximate this probability? A. no, the normal distribution cannot be...
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
Problem 1-5 1. If X has distribution function F, what is the distribution function of e*? 2. What is the density function of eX in terms of the densitv function of X? 3. For a nonnegative integer-valued random variable X show that 4. A heads or two consecutive tails occur. Find the expected number of flips. coin comes up heads with probability p. It is flipped until two consecutive 5. Suppose that PX- a p, P X b 1-p, a...
1. The probability distribution of a discrete random variable X is given by: P(X =-1) = 5, P(X = 0) = and P(X = 1) = ? (a) Compute E[X]. (b) Determine the probability distribution Y = X2 and use it to compute E[Y]. (c) Determine E[x2] using the change-of-variable formula. (You should match your an- swer in part (b). (d) Determine Var(X).