Let X be the random variable with the following distribution: x: 1 2 3 4 5 P(X=x): k 0.04 0.3 0.2 0.3 Find the mean four decimal places
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Let X be the random variable with the following distribution:
x: 1 2 3 4 5
P(X=x): k 0.04 0.3 0.2 0.3
Find the mean
four decimal places
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- Let X have a Poisson distribution with variance 2. Then the mean of 3X is Select one: O a. 6 O b. 2.4142 O c. 3 O d. 4.2426Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. x 1 2 3 4 5 Px 0.63 0.13 0.11 0.02 0.11 (a) Compute the mean μX . .z is a standard normal random variable. The P (-1.20 z 1.50) equals a. 0.8181 b. 0.4332 c. 0.0483 d. 0.3849
- A random variable takes the values 3,4,5. p(X = 3) = 0.4 and E(X) = 3.8. p(X < 4/X < 5) = %3D Select one: a. O b. Od. O d. -IN -T C.2The random variable X has the probability distribution shown, 8. PX=x) Complete parts (a) through (c) below. Click here to view page 1of the standard normal distribution table Click here to view page 2. of the standard nomal distribution table 0.2 0.3 0.4 0.1 (a) Find the mean u and the variance o of X. %(Type an integer or a decimal Do not round.) o (Type an integer or a decimal Do not round ) (b) Find the mean ug and the variance o of the mean X for random samples of 36. Hg Type an integer or a decimal Do not round) a Round to three decimal places as needed) (Let X be the number of cherries in a cherry puff. Find the probability that the average number of cherries in 36 cheny puffs will be less than 6.6 The probability is (Round to four decimal places as needed) Enter voin
- Classify the following random variables as discrete or continuous.______1. X= the number of cars in a parking lot every noon______2. P= the number of points scored in a basketball game______3. X= the number of laptop sold in one week in Silicon Valley______4. X = the length of time spent in playing video games in minutes______5. P = the amount of money spent by a family in one month______6. P = the heights of varsity players in your school in meters______7. Y = the number of gifts received by a birthday celebrant______8. Y= the weights in pounds of newly born babies in a hospital nursery______9. Q= the number of employees in a call center who are Bachelor of Science in Nursing graduatesThe marginal distributions of two random variables X and Y, together with some values of their joint distribution, are given in the table below. Fill in the table in such a way that X and Y are dependent random variables. Y=0 Y= 1 Y= 3 X=-1 0.06 0.60 X=3 0.04 0.40 0.50 0.10 0.40 1.00Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.
- Mac Find P(Z < -1.26) where Z is the standard normal random variable. Answer: Round to 4 decimal places.D1) Suppose the time it takes for an ambulance to arrive in response tk a 911 call follows a normal distribution with the mean 8 mind and SD of 2 mins if someone dials 911 for health emergency, what is the probability the ambulance took between 6-10 mins to arriveLet x be a normally distributed random variable with the following parameter: μ = 125 σ = 30 11 What value of the x axis marks the top 25% of the distribution? a 151.1 b 148.1 c 145.2 d 142.4
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