The probability density of a random variable X is given in the figure below.     From this density, the probability that X is at least 1.42 is:

Assume that the box contains balls numbered from 1 through 26, and that 3 are selected. A random variable XX is defined as 1 times the number of odd balls selected, plus 2 times the number of even. How many different values are possible for the random variable XX?      Fill in the table below to complete the probability density function. Be certain to list the values of XX in ascending order.   Value of X Probability                   N

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.. Drive-thru Restaurant C C 233 39 B 273 53 D 149 12 A Order Accurate 316 Order Not Accurate 38 If one order is selected, find the probability of getting food that is not from Restaurant A. The probability of getting food that is not from Restaurant A is (Round to three decimal places as needed.)

The table below represents the probability density function for the random variable X. Find the standard deviation of X. Round the final answer to two decimal places. x   P(X = x)  1  1/4  3  1/4  4  1/2

Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -2, 0, 4, 5, and 6. Value x of X -2 0 4 6 P(x = x ) 0.20 0.12 0.21

The figure above shows the probability density function for the random variable x. What is P(3≤x<7)?

Find the probability ​P(Ec​) if ​P(E)=0.17.

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant D A В C Order Accurate 321 273 241 123 Order Not Accurate 32 50 39 11 If three different orders are selected, find the probability that they are all from restaurant A. The probability is (Round to four decimal places as needed.)

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant D A В Order Accurate Order Not Accurate 249 34 310 262 143 19 35 54 If one order is selected, find the probability of getting food that is not from Restaurant A. The probability of getting food that is not from Restaurant A is (Round to three decimal places as needed.)

Fifty people were asked how much they paid for the last smartphone app they purchased. These data were collected. Let the random variable X be the price paid for the app, and let f(x)=P(X=x) be the probability mass function based on the result of this survey. Answer parts a through e below. a) Write f as a set of ordered pairs. (Type an ordered pair, using integers or decimals. Use a comma to separate answers as needed. Do not include the $ symbol in your answer.) Draw the probability distribution as a histogram. Choose the correct histogram below. OA OB. OC. Q Q Q Q Q Q b) Find the cumulative probability function F Price, x $1.00 $2.00 $3.00 $4.00 $5.00 $6.00 $7.00 OD. F(x)= (Type integers or decimals) c) Find f(4). f(4) = (Type an integer or a decimal.) What does f(4) represent? O A. The probability that a randomly selected person did not pay $4 for an app OB. The probability that a randomly selected person paid $4 for an app OC. The probability that a randomly selected person paid…