A student needs to know details of a class assignment that is due the next day and decides to call fellow class members for this information. She believes that for any particular call, the probability of obtaining the necessary information is 0.40. She decides to continue calling class members until the information is obtained. But her cell phone battery will not allow more than 8 calls. Let the random variable X denote the number of calls needed to obtain the information.a. Find the probability distribution of X.b. Find the cumulative probability distribution of X.c. Find the probability that at least three calls are required.

PLEASE ANSWER (d) ONLY. a-c have been answered.  Suppose a dresser drawer has blue shirts, yellow shirts, red shirts, and green shirts so that if a shirt is pulled from the drawer at random, each color has an equal chance of being drawn. P(Green) = P(Blue) = P(Red) = P(Yellow) = ¼. Complete parts (a) – (d) to create a probability distribution for the number of yellow shirts if two shirts are pulled from the drawer at random (replacing the shirt after each draw). (a) List each possible outcomefor the colors of the shirts if two shirts are drawn randomly from the drawer. Green, Blue, / Green, Red,  / Green, Yellow, /  Green, Green Blue, Green / Blue, Blue / Blue, Red / Blue, Yellow Red, Green / Red, Blue / Red, Red / Red, Yellow Yellow, Green / Yellow, Blue / Yellow, Red / Yellow, Yellow (b) List the possible events for the number of yellow shirtsif two shirts are drawn randomly from the drawer. Green, Yellow / Blue, Yellow / Red, Yellow Yellow, Yellow (c) Find the probability of each…

Find the mean of the given probability distribution. A police department reports that the probabilities that 0,1,2 and 3 burglaries will be reported in a given day are 0.48,0.41,0.10,and 0.01 respectively.

To avoid unpleasant surprises when the statement comes, you try to record all your credit card transactions in a ledger. Unfortunately, you tend to neglect recording about 5% of your purchases. Suppose that last month, you had 25 purchases on your credit card account. When the statement arrives, you count the number of purchases you forgot to record. The random variable X represents the number of unrecorded purchases in a month with 25 transactions. Find the probability that you would record all 25 purchases. 2.98 .2774 1.25 .3526