Let C= the number of customers to an automobile repair shop on a randomly selected day. The table gives the probability distribution of C Customer=0,1,2,3,4,5,6,7
Probability= 0.01,0.06,0.08,0.16,0.26,0.29,0.09, 0.05
A. Verify that the probability distribution of C is valid
B. To be profitable, the repair shop needs to have at least four customers per day. What is the probability that the shop is profitable on a randomly selected day
C. Is C continues or discrete? Explain briefly
D. Make a histogram of the probability distribution and describe its shape

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

8

step-by-step explanation: