A binomially distributed random variable has a probability of success equal to 0.72. For random samples of size 5200.
Use the Normal approximation to calculate the probability that more than 3800 successes are observed. Don't forget to show continuity correction. Round to 4 decimals
A binomially distributed random variable has a probability of success equal to 0.72. For random samples...
1.- A random variable follows a binomial distribution with a probability of success equal to 0.72. For a sample size of n=12, find the values below. a. the probability of exactly 5 successes b. the probability of 6 or more successes c. the probability of exactly 11 successes d. the expected value of the random variable a. The probability of exactly 5 successes is (Round to three decimal places as needed.) b. The probability of 6 or more successes is...
A random variable follows a binomial distribution with a probability of success equal to 0.64. For a sample size of n=9, find the values below. a. the probability of exactly 3 successes b. the probability of 6 or more successes c. the probability of exactly 9 successes d. the expected value of the random variable
A) in the pic
B) if the probability of a success is 0.35, the probability of
fewer than 4 successes is what?
C) if the probility of success is 0.15, the standard deviation
of the random variable is what?
Score: 0 of 4 pts 3 of 6 (4 complete) 5.2.28-T Assuming the binomial distribution applies with a sample size of n=11, find the values below. a. the probability of 5 or more successes if the probability of a success is...
Let X be a binomially distributed random variable with parameters n=500 and p=0.3. The probability that X is no larger than one standard deviation above its mean is closest to which of the following? a. 0.579 b. 0.869 c. 0.847 d. 0.680
If Y is a binomial random variable with parameters n=60 and p=0.5, estimate the probability that Y will equal or exceed 45 using the Normal approximation with a continuity correction.
QUESTION 1 Consider a random variable with a binomial distribution, with 35 trials and probability of success equals to 0.5. The expected value of this random variable is equal to: (Use one two decimals in your answer) QUESTION 2 Consider a random variable with a binomial distribution, with 10 trials and probability of success equals to 0.54. The probability of 4 successes in 10 trials is equal to (Use three decimals in your answer) QUESTION 3 Consider a random variable...
If x is a binomial random variable where n = 100 and p = 0.30, find the probability that x is greater than or equal to 35 using the normal approximation to the binomial. (Discuss whether continuity correction is required or not)
Problem 2: Let X be a binomially distributed random variable based on n 10 trials with success probability p 0.3. a) Compute P(X 3 8), P(x-7 and PX> 6) by hand, showing your work.
Suppose that ??1,??2, … are independent and identically distributed Bernoulli random variables with success probability equal to an unknown probability ?? ∈ [0,1]. Show that the MLE of ?? attains the Cramér-Rao lower bound and is therefore the best unbiased estimator of ??.
X is a normally distributed random variable with mean equal to 20 and variance equal to 100. The probability that X is < 30 is equal to the probability that Z is less than: