Suppose X has a Poisson distribution with a mean of 4. Determine the following probability: P(X≤2) Group of answer choices 0.2381 0.3281 0.8123 0.1832
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Suppose X has a Poisson distribution with a
Group of answer choices
0.2381
0.3281
0.8123
0.1832
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- 2.Assume T is a random variable representing time, with an exponential distribution and a mean of 21. Find the probability P(T <= 21).Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. b. If one car is randomly chosen, find the probability that it is traveling more than 76 mph. __________c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 80 mph. ___________d. 60% of all cars travel at least how fast on the freeway?_____________ mph.plz hurry!
- A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. OA. H= adult(s) (Round to one decimal place as needed.) OB. The table does not show a probability distribution. an example # 3 A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. D. No, the random variable x is categorical instead of numerical. E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct choice below…please answer 15Suppose that births in a hospital occur randomly at an average rate of 1.9 births per hour. Assume that the probability of a birth is the same for any two time intervals of equal length. a. Which distribution can we use in this case? b. What is the probability that we observe at least 3 births in a 2-hour interval?c. Suppose that births occur randomly in hospital A and hospital B at an average rate of 2.1 births and 3 births per hour, respectively. What is the probability that we observe 7 births in total from the two hospitals in a 1-hour period?
- Find the mean of the given probability distribution. 16) In a certain town, 70% of adults have a college degree. The accompanying table describes th 16) probability distribution for the number of adults (among 4 randomly selected adults) who h college degree. P(x) X 0 0.0081 1 0.0756 2 0.2646 3 0.4116 4 0.2401please do this typewritten asap.Suppose that the five original Skittles colors are produced in equal quantities. Let p = the proportion of Skittles that are yellow. Then p = 0.2. An Elementary Statistics class will take a random sample of 500 Skittles. Find the probability that the obtained p will be greater than 0.25.
- Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semester: Value of X 3 Probability 0.07 4 5 6 0.25 0.28 The probability for X = 4 is missing. What is it? 0.07 0.25 0.40 0.50An appliance dealer sells three different models of upright freezers having 11.5, 14.9, and 20.1 cubic feet of storage space. Let x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution. X p(x) 11.5 14.9 20.1 0.2 0.5 0.3 (a) Calculate the mean (in cubic feet) of x. cubic feet Calculate the standard deviation (in cubic feet) of x. (Round your answer to three decimal places.) cubic feet (b) If the price of the freezer depends on the size of the storage space, x, such that Price = 25x8.5, what is the mean price paid (in dollars) by the next customer? $ (c) What is the standard deviation of the price paid (in dollars)? (Round your answer to the nearest cent.) $please do this typewritten asap.
