The table below shows the probability distribution of a discrete random variable X. Values of the...

Question

Question

The table below shows the probability distribution of a discrete random variable X.

Values of the random variable X (x)	Probability of observing each value of X *P(X = x)*
6	0.20
7	0.25
8	0.25
9	0.10
10	0.12
11	0.08
Total	1.00

(a) Determine the probability that the random variable X is between 8 and 10, inclusive. (1 mark

(b) Determine the probability that the random variable X is at least 9. (1 mark)

c. Determine the probability that the random variable X is at most 9. (1 mark)

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

A discrete random variable X is defined by the following probability distribution X 2 7 9...

A discrete random variable X is defined by the following probability distribution X 2 7 9 10 P ( X = x ) 0.08 0.12 0.38 0.42 Find the following : μ = E ( X ) E(X^2) . E ( 2X + 3 ) E ( 4X − 8 ) σ ^2 = Var ( X ) σ = SD ( X )
Fill in the P(x=x) values to give a legitimate probability distribution for the discrete random ranables...

Fill in the P(x=x) values to give a legitimate probability distribution for the discrete random ranables x whose possible values are 1,3,4,5 & 6 P(x=x) value of x - 3 0.12 0.19 4 5 6 0.20
The following table denotes the probability distribution for a discrete random variable X. Use this information...

The following table denotes the probability distribution for a discrete random variable X. Use this information to answer questions 10-11. X .0 1 2 9 P(X) 0.1 0.2 0.2 0.5 10. Find the mean of X. 11. The standard deviation of X is closest to (a) 15.49 (b) 19:9 (c) 4,46 (d) 4.08 (e) 3.94

5. Let X be a discrete random variable. The following table shows its possible values associated...

5. Let X be a discrete random variable. The following table shows its possible values associated probabilities P(X)( and the f(x) 2/8 3/8 2/8 1/8 (a) Verify that f(x) is a probability mass function. (b) Calculate P(X < 1), P(X 1), and P(X < 0.5 or X >2) (c) Find the cumulative distribution function of X. (d) Compute the mean and the variance of X.
A discrete random variable X has the following probability distribution:

A discrete random variable X has the following probability distribution: x7778798081 P(x) 0.150.150.200.400.10Compute each of the following quantities. i. P(X = 80) ii. P(x > 80) iii. P(X ≤ 80) iv. The mean, μ of x. v. The variance, σ2 of X. vi. The standard deviation, σ of X.
Fill in the P(X = x) values to give a legitimate probability distribution for the discrete...

Fill in the P(X = x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 2, 3, 4, 5, and 6. Value I of x P(x = x) 2 0.16 3 4 0.17 0.29 6 0 X 6 For Subm Let X be a random variable with the following probability distribution: 1 Value x of X P(X=x) 0.25 2 0.05 3 0.15 4 0.15 5 0.10 6 0.30 Find the expectation E...

the probability distribution function for the discrete random variable where X is equal to the number...

the probability distribution function for the discrete random variable where X is equal to the number of red lights drivers typically run in year follows. x 1,2,3, p(x) 0.70, 0.12 , 0.02 , 0.16 what is the mean of this discrete random variavle?
Question B2 (a) The table below shows the discrete probability distribution of a random variable X:...

Question B2 (a) The table below shows the discrete probability distribution of a random variable X: X P(X) 1 0. 2 7 18 W Tk 25 0.1 Suppose u = 12. Find the values of w and k. Hence, find the variance. (5 marks) (b) Suppose 15 students in a class are to be assigned randomly into 5 groups for group presentation. Each group contains 3 students. In how many different ways can these groups be formed? (3 marks) Suppose...
5. Let X be a discrete random variable. The following table shows its possible values r...

5. Let X be a discrete random variable. The following table shows its possible values r and the associated probabilities P(X -f(x) 013 (a) Verify that f(x) is a probability mass function (b) Calculate P(X < 1), P(X < 1), and P(X < 0.5 or X > 2). (c) Find the cumulative distribution function of X ompute the mean and the variance of

Fill in the P(x=x) values to give a legitimate probability distribution for the discrete random variable...

Fill in the P(x=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -2,-1,0, 1, and 2. Value x of x P ( X = x) -2 0.26 0 0.26 1 2 0.14 X 5 ?