If X is a normally distributed random variable with a mean of 10 and standard deviation of 4, then the probability that X is between 6 and 16 is A. .9332 B. .7745 C. .6587 D. .0668 E. .8413
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- Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of home runs in a baseball game b. The hair color of adults in the United States c. The time required to upload a file to the Internet d. The number of people in a restaurant that has a capacity of 300 e. The number of statistics students now doing their homework f. The number of light bulbs that burn out in the next year in a room with 13 bulbs a. Is the number of home runs in a baseball game a discrete random variable, continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable. b. Is the hair color of adults in the United States a discrete random variable, continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable.…The random variable x is best described by a uniform probability distribution with mean 70 and standard deviation 6. Find c, d, and f(x). Graph the probability distribution. The value of c is (Round to the nearest hundredth as needed.)If z is a standard normal random variable, find the probability.The probability that z lies between -0.44 and 2.13 Round to four decimals
- Which are continuous random variables? 1. number of calories a dog consumes in a day. 2. Time it takes for someone to tie their shoe. 3. distance a person has walked in a day. 4. Number of steps a person has walked in a day.Suppose the random variable X follows a normal distribution with mean 80 and variance 100. Then the probability is 0.6826 that Xis in the symmetric interval about the mean between two numbers are O A. -1 to 1 O B. -2 to 2 OC. None O D. -3 to 3a. A random variable X has the following probability distribution: 0 x 18 5 x 18 10 x 18 15 x 18 20 x 18 25 x 18 P(X = x) 0.1 2m 0.2 0.1 0.04 0.07
- Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of statistics students now doing their homework b. The hair color of adults in the United States c. The number of pigeons in a country d. The number of light bulbs that burn out in the next year in a room with 14 bulbs e. The amount of rain in City A during July f. The number of people in a restaurant that has a capacity of 200 a. Is the number of statistics students now doing their homework a discrete random variable, continuous random variable, or not a random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable. b. Is the hair color of adults in the United States a discrete random variable, continuous random variable, or not a random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable. c. Is the number of…Suppose that the distance to a certain store (i.e., X) from your home follow a NORMAL probability distribution. A. X is an integer number and can be considered as a discrete random variable. B. X is a real number and should be considered as a continuous random variable. C. The standard deviation of X can be assumed to be a negative real number. D. The standard deviation of X can be assumed to be a negative integer number. E. The probability of “X=2 miles” may be equal to 0.1. F. None of the above.Assume X has the following probability distribution: X 1 2 3 4 P(X) .1 .5 .2 .2 Compute the standard deviation of X.
- 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 arriveSuppose X is a random variable with possible values -2,3 and 1 and with respective probabilities 0.22, 0.35, and 0.43 then the mean and standard deviation of X, respectively, are: Q a. 1.04 and 0.3733 O b. 1.04 and 1.876 O c. 1.04 and 1.838 O d. 0.667 and 1.876 O e. 0.667 and 0.3733In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Find the mean and standard deviation. x P(x) 0 0.30 10.40 2 0.20 30.06 4 0.04 O mean: 1.30; standard deviation: 1.54 O mean: 1.14; standard deviation: 1.04 O mean: 1.54; standard deviation: 1.30 O mean: 1.30; standard deviation: 2.38