Consider the following discrete probability distribution.             x 15 22 34 40 P(X = x) 0.14 0.40 0.26 0.20   a. Is this a valid probability distribution? multiple choice Yes, because the probabilities add up to 1. No, because the gaps between x values vary. b. What is the probability that the random variable X is less than 40? (Round your answer to 2 decimal places.)

Determine whether the table gives the probability distribution of the random variable X. Explain your answer. x −1 0 1 2 3 P(X = x) 0.3 0.1 0.2 0.2 0.2 A. Yes, because the probabilities are all between 0 and 1, inclusive, and the values are all unique. B. Yes, because the sum of the probabilities is equal to 1 and the values are all unique.     C. Yes, because the probabilities are all between 0 and 1, inclusive, and their sum is equal to D. No, because the sum of the probabilities is not less than 1. E. There is not enough information to tell.

In a certain year, 28.9% of all light vehicles were light trucks, 28.9% were SUVS, and 42.2% were cars. The probability that a severe side-impact crash would prove deadly to a driver depended on the type of vehicle he or she was driving at the time, as shown in the table. What is the probability that the victim of a deadly side-impact accident was driving an SUV? (Round your answer to four decimal places.) Light Truck .210 SUV .371 Car 1.000 Need Help? Watch It

Fill in the missing value to make a valid probability distribution.   x 5 10 15 20 25 30 ​P(x​) 0.05 0.14 0.23 0.48 0.08   What is the missing​ probability?   nothing ​(Type an integer or a​ decimal.)

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Suppose you choose four people at random from a Statistics class in which you know 20% of the students have an A average. Let X be the number of students in your sample who have an A average. Obtain the probability distribution for X and plot the probability histogram. X Probability 0 i N 3 A 0.45 0.4 0.35 0.3 i Probability histogram: 0.25 i MI 0.2 0.15- 0.1 0.05- 0 0 1 2 X Figure 1. 3 0.45 0.4 0.35 0.3 0.25 m 10 el 02 0.15 0.1 0.05 0 0 2 X Figure 2. 3 0.45 0.4 0.35- 0.3- 0.25 02- 0.15 0.1- 0.05 0 0 1 2 X Figure 3. 3

A sociologist surveyed the households in a neighboring town and recorded the number of dependent children in the household. The following probability distribution was created based on the survey. Use the probability distribution to answer the following questions x 0 1 2 3 4 P(x) 0.07 0.20 0.38 0.22 0.13 What is the probability that a surveyed household stated they had more than 2 dependent children in the household?  (round your answer to 2 decimal places)

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Let x be the number of courses for which randomly selected student at a university is registered. The probability distribution of x appears in the following table. ( all students must be enrolled in between 1 and 7 classes )   x.                     1                2             3            4        5           6               7   P (x)            ( 0.02 )      ( 0.04 )   (0.09 )   (0.24)  ( 0.39 )  ( 0.17 )    ( .05 )     a. Find mean (x)  ( round to two decimal places )   B. Find standard deviation of x ( round to two decimal places )    c. What is the probability that x is within 1 standard deviation of the mean?  In other words solve: p ( mean of x - standard deviation of x < x < mean of x + standard deviation of x )=

Consider the following probability distribution. Find the probability that x=2. x.           0              1               2             3            4              5   p(x).       .12         .25              ?            .18        .14           .11