X~Normal(6,49). Find the probabilities of the following
events:
a. Prob(X ≤ 4).
b. Prob(X > 7).
c. Prob(4 < X ≤ 7).
X~Normal(6,49). Find the probabilities of the following events: a. Prob(X ≤ 4). b. Prob(X > 7)....
Let X be a random continuous variable distributed as normal (5,4). Find the probabilities of the following events: a. P(X<4) b. P(X>6) c. P(4<X<6) Show all steps please, type do not attach a photo.
In a binomial distribution, n=7 and pi=.25. Find the probabilities on the following events (round to 4 decimal places) 1. x=4 2. x is less than or equal to 3 3. x is greater than or equal to 4
7 Suppose X~N(4, 22). Using interactive standard normal table shown in class find the following probabilities a) P(-2.5 X 2.5) b) P(X2 5) c) P(X-2.5) d) What are the two values between which 98% of the data fall? 8 Bacteria count: Number of bacteria in a particular culture follows normal distribution with mean 11 million and standard deviation 2 million. In what proportion of that culture less than 6 million bacteria is produced?
0 en the events A and B above, find the following probabilities P[ not (A or B)) P(A or B)- P(A and not B) P(A or B but not both) Are events A and B independent (why P(B and not A)- P( not A) or why not) Are events A and B mutually exclusive (why or why not) GRB 4/4/2019 Math 121 HW 6- Probability Rules
Solve for the following probabilities (ranges of X values): a. P(X ≤ 7) when m = 15 b. P(9 ≤ X ≤ 18) when m = 15 c. P(X ≥ 15) when m = 15 d. P(12 ≤ X < 20) when m = 15 (1) Solve the probabilities on the PROB worksheet. (To four decimal places) The P(X ≤7) when the poisson mean = 15 is ________.Assume a poisson distribution (2) Solve the probabilities on the PROB worksheet. (To four decimal places) The...
Use the Standard Normal table to find the following probabilities. (Keep probabilities at 4 decimal places.) P(-1.49< z < 2.04) =
Using Probabilities for Significant Events. a. Find the probability of getting exactly 7 girls in 8 births. b. Find the probability of getting 7 or more girls in 8 births. c. Which probability is relevant for determining whether 7 is a significantly high number of girls in 10 births: the result from part (a) or part (b)
7. Let X, and X, be indicators of independent events with probabilities 1/2 and 1/3. respectively. a) Display the joint distribution table of X2 + Xs and X - Xs. b) Calculate E(X3 - X) C) Are X and Xs uncorrelated? Prove your answer.
A 0.2 В 0.5 0.1 Given the events A and B above, find the following probabilities P(A and B) P(A or B) P(A | B) P(B | A) = P( not A and B) = P(A and not B) Are events A and B independent (yes Explain why or why not or no) Are events A and B independent (yes Explain why or why not or no) GRB 5/5/2019 Math 121 Final Spring 2019
7. If x is a binomial random variable find the following probabilities: a) P(x = 2) n = 10 and p = .40 b) P (x < 5) for n = 15 and p = .60 8. Find pl, oland o for n = 25 and p = .50