Option C) 0.3125
11) Suppose X is a binomial random variable with -4 and p-0.5. What is Prob(XI)? A)...
Suppose that X is a binomial random variable with n = 11 and p = 0.28 . Find P( 5 ). Write only a number as your answer. Round to 4 decimal places (for example 0.1849). Do not write as a percentage.
4. Suppose X is a Binomial random variable with parameters 4, and p. (a) Express E [sin (TX/2)] in terms of p. b) Express E [cos (TX/2)] in terms of p.
Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the following probabilities using the binomial formula. a.) P( x = 5) b.) P( x = 8) c.) P( x = 12) d.) P( x ≤ 4) e.) P( x ≥ 8) f.) P( x ≤12)
Suppose X is a Binomial random variable for which there are 4 independent trials and probability of success 0.4. What is P(X > 0)? a. 0.528 b. 0.1640 c. 0.8704 d. 0.4 e. 0.7638
3. Suppose Xi, X2, and X are independent random variables drawn from a binomial distribution with parameters p and n. The observed values are Xi -3, X2-4, and (a) Suppose n 12 and p is unknown. What is the maximum likelihood estimator (b) Suppose p - 0.4 and n is unknown. What is the maximum likelihood estimator for p? for n? (Note: Since n is discrete you can't use calculus for this; just write the formula and use trial and...
Suppose X is a binomial random variable, where n=12 and p = 0.4 compute p < 4 a) 0.5622 b) 0.3453 c) 0.2253 d) 0.4382
If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x≤1),n=4,p=0.5 P(x)= (b) P(x>2),n=9,p=0.5 P(x)= (c) P(x<8),n=9,p=0.5 P(x)= (d) P(x≥3),n=4,p=0.9 P(x)=
If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x≤4),n=6,p=0.6 P(x≤4)= (b) P(x>3),n=4,p=0.9 P(x>3)= (c) P(x<6),n=7,p=0.4 P(x<6)= (d) P(x≥4),n=5,p=0.5 P(x≥4)=
Problem 6: Suppose we observe a random variable X having a binomial distribution with parameters n and zp. (a) What is the generalized likelihood ratio for testing Ho : p-0.5 against H, : p* 0.5? (b) Show that a generalized likelihood ratio test rejects Ho when |X -n/2|2 c. (Hint: it may help to consider the logarithm of the generalized likelihood ratio.) (c) What is the significance level of the test when n 12 and c 5?
Problem 6: Suppose...
If I sum a binomial random variable with n=5 and p =0.3 and a binomial random variable with m=10 and p =0.5, I get Select one: a. Something unfamiliar to us as yet b. A normal distribution c. A binomial random variable with number of Bernoulli trials =15 and p =0.4 d. A Binomial with number of Bernoulli trials =15 and p=0.4