Using the Binomial distribution,
If n=7 and p=0.5, find P(x=5).
show how to solve both with and without calculator

Using the Binomial distribution, If n=7 and p=0.5, find P(x=5). show how to solve both with...
Using the Binomial distribution, If n=5 and p=0.2, find P(x=3)
14. If n = 10 and p = 0.5 in the binomial distribution, then what is the probability of X = exactly 6? 15. If n = 10 and p = 0.5 in the binomial distribution, then what is the probability of X = exactly 6 using Normal Approximation?
Suppose that a random variable X has a binomial distribution with n=2, p=0.5. Find the mean and variance of ? = ?2
If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by P(x) = p(1 - p)* where p is the probability of success on any one trial. Assume that the probability of a defective computer component is 0.15. Find the probability that the first defect is found in the eighth...
Problem 5. For a binomial distribution with (i) n = 9, p = 0.7 find P(x < 6); (ii) n = 15, p = 0.6 find P(6 < x < 9); (iii) n = 1000, p = 0.003 find P(x = 3).
Please use R to solve question 1.
Question 1 5 pts Binomial distribution: X~Bi(n=15,p=0.3). Evaluate Pr(2<x<7) and round to three decimal places (see Lab 2). Question 2 5 pts Poisson distribution: X~Poisson(lambda=4.5). Evaluate Pr(X<11) and round to three decimal places. Question 3 5 pts Assume that X is normally distributed (X-N(0,1)). Find Pr(X=3).
If X has a binomial distribution with n -3 and o j 3 7 find the probability distributions of (a) Y1+ X (b) U (X 1)4
QUESTION 28 Using the Binomial Probability table, find Px) when n - 7, X <3, and p 0.5 A, 0.273 O B. 0.500 O C. 0.227 ○ D. 0,773
Score on last attempt: 0 out of 1 (parts: 0/0.5, 0/0.5) Score in gradebook: 0 out of 1 (parts: 0/0.5, 0/0.5) Try another similar question Question with last attempt is displayed for your review only A bag contains 8 red marbles, 5 white marbles, and 7 blue marbles. You draw 3 marbles out at random, without replacement. Find the following probabilities. The probability that all the marbles are red is 1/10 (Please enter a reduced fraction) Preview The probability that...
5. A random variable X follows a binomial distribution with n 35 and p-4. Use the normal approximation to the binomial distribution to find P(X < 16)