if X is a binomially distributed with n = 20 and p = .3, what is the probability of lying within one standard deviation of the mean?
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
Let X be binomially distributed to parameters n and p. Find E?X2? (Hint: write X as a sum of n indicator variables, what is then X2?)
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.
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....
) 6. Let x be the binomial random variable with n = 10 and p = .9 (2) a. Find P(x = 8) (5) b. Create a cumulative probability table for the distribution. (2) c. Find P( x is less than or equal to 7) (2) d. Find P(x is greater than 7) e. Find the mean, μ. (1) f. Find the standard deviation, σ. (1) g. Find the variance. ...
20.Suppose x is normally distributed with mean 2,825 and standard deviation 250. Find P(2,700 ≤ x ≤ 3,200).
QUESTION 3 10 p Suppose x, Y, and C represent the length, width, and perimeter of a flat rectangular sheet metal part. Note that X is a normal random variable having mean 35cm and standard deviation 3 cm, and Y is independent of X and normally distributed with a mean of 15 cm and a standard deviation of 4 cm. What is the probability that the perimeter is between 96 and 105 cm? ( Report answer to three decmal places....
x is distributed normally with mean 10, standard deviation 5. The P ( x ≥ 11 ) is an upper-tail probability
Suppose for a certain microRNA of size 20, the probability of getting a purine is binomially distributed with a probability of 0.7. There are 100 of these microRNAs, each independent of the other. Let Y denote the average number of purine in these microRNAs. Find the probability that Y is greater than 15.
Assume that the random variable X is normally distributed with mean p = 60 and standard deviation o= 8. Compute the probability P(X <70). 0.1056 0.9015 0.8849 0.8944