(+12 If X has a uniform distribution on the interval from 0 to 10, then what is P(X + 7) ? IV
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Q: If X has a uniform distribution on the interval from 0 to 10, then what is P(X + 10/X> = 7)?
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- The random variablex has the following continuous probability distribution in the range 0 < x < k – 4 (wherek is a positive number) is shown in the coordinate plane with X on the horizontal axis. - f(x) k -1.5 k– 4 What is the median of X?To compute P(X <7) for a binomial distribution, what would be an equivalent notation? O a. 1- P(X < 6) O b. 1- P(X < 7) O c. P(X s 6) O d. P(X < 7)[Q1] The probability distribution of the discrete random variable X is: f(X) = k23-* , for x = 4,5, 6, 7 (a) Find: • the value of the constant k. • The mean E (X). • The variance Var(X). (b) Sketch F(X).
- Use the table for the probability distribution to find the condition probability of X = 1 given that Y = 1. The table for the probability distribution is given below. f(1|1) = Give your answer to one decimal place. 1 y 1 | 1/16 3/8 5/16 1/8 1/4 1/16Let X be a random variable with the following probability f(x) = c(1 – 2x2 + x3), x = 0, 1, 2, 3, 4, 5. Find the value of c to make it a probability Establish the probability distribution of X (table). Find the mean of the random variable3: Find the theoretical frequencies, by using a suitable distribution X 0 1 2 3 4P(X) 21 / 462 140 / 462 210 / 462 84 / 462 7 / 462
- . The probability that a newborn life (age 0) survives x years is given by: 110 - x xPo 0The geometric distribution gives the probability that the first success occurs at the xth trial with success probability p. f(x)=(1-p)x-1p, x=1,2,3,... Show that E(X)=1/pThe time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.62. a) find the P(10<x<15) (10 and 15 are seconds) b) find the P(x>15| x>10) (10 and 15 are seconds) c) find the P(x<15) (15 is seconds)