1- Determine the first quartile Q1 for the binomial distribution: X~Bi(n=20,p=0.25)
2- Poisson distribution: X~Poisson(lambda=6). Evaluate Pr(X<9) and round to three decimal places.
3-Assume that X is normally distributed with E(X)=1 and Var(X)=2. Evaluate Pr(0<X<1) and round to three decimal places
1- Determine the first quartile Q1 for the binomial distribution: X~Bi(n=20,p=0.25) 2- Poisson distribution: X~Poisson(lambda=6). Evaluate...
1-Determine the third quartile Q3 for the binomial distribution: X~Bi(n=20,p=0.25). 2-Poisson distribution: X~Poisson(lambda=4.5). Evaluate Pr(X<11) and round to three decimal places. 3-Assume that X is normally distributed with E(X)=1 and Var(X)=2. Determine the third quartile Q3 and round to three decimal places.
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).
Assume that X is normally distributed with E(X)=1 and Var(X)=2. Evaluate Pr(X>2.1) and round to three decimal places
Let x be a binomial random variable with n = 20 and p = 0.05. Calculate p(0) and p(1) using Table 1 to obtain the exact binomial probability. (Round your answers to three decimal places.) p(0) = p(1) = Calculate p(0) and p(1) using the Poisson approximation. (Round your answer to three decimal places.) p(0) = p(1) = Compare your results. Is the approximation accurate? No the approximation is not accurate. At least one the differences between the probabilities from...
Suppose the random variable X has a binomial distribution corresponding to n = 20 and p = 0.20. Use the Cumulative Binomial Probabilities table to calculate these probabilities. (Enter your answers to three decimal places.)(a) P(X = 8) (b) P(X ≥ 9)
Assume that a procedure ylelds a binomial distribution with n = 6 trials and a probability of success of p = 0.30. Use a binomial probability table to find the probability that the number of successes x is exactly 2 P(2)= _______ (Round to three decimal places as needed)
1. Given that x has a Poisson distribution with μ=4, what is the probability that x=6? Round to four decimals. 2. Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find P(4) when μ=7. Round to the nearest thousandth. 3. Given that x has a Poisson distribution with μ=0.4, what is the probability that x=4? Round to the nearest thousandth. 4. Describe the difference between the value of x in a binomial distribution and in...
Please answer the three questions below: 1) 2) 3.) Below is a binomial distribution for n-7 and p 0.4. 0.25 0.2 0.15 0.1 0.05 Number of Successes Binomial Distribution Calculate the mean of the binomial distribution. Preview [two decimal accuracy] Below is a binomial distribution for n 6 and p 0.6 0.3 0.25 0.2 S0.15 0.1 0.05 Number of Successes Binomial Distribution Calculate the standard deviation of the binomial distribution. Preview [three decimal accuracy 0.35 0.3 0.25 0.2 0.15 0.1...
Suppose that x has a binomial distribution with n = 198 and p = 0.44. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (o) to 4 decimal places.) (a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x пр n(1 - p) Both np and n(1 – p) (Click to select) A 5...
Suppose that x has a binomial distribution with n = 200 and p = 0.42. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (o) to 4 decimal places.) (a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x. np n(1 – p) Both np and n(1 – p) (Click to select) A 5...