Alocal bakary has determined a probability distribution for the number of cheesecakes that they sell in a given day:

x= #sold 0 5 10 15 20
probability 0.25 0.47 0.12 ? 0.15

a. what is the probability of selling 15 cheesecakes in a given day?
b. what is the probability of selling at least 10 cheesecakes?
c. what is the probability of selling 5 or 15 chassescakes?
d. what is the peobaility of selling 25 cheesecakes?
e. give the expected number of cheesecakes sold in a day using the discrete probability distribution?
f. what is the probability of selling at most 10 cheesecakes?

Step-by-step explanation:

The pdf of  the number of cheesecakes that they sell in a given day: by a bakery are as follows:

X     0         5       10      15     20

P    0.25    0.47   0.12   k     0.15

Use total prob =1, to find k .  

k = 0.01

a)  the probability of selling 15 cheesecakes in a given day = 0.01

b. What is the probability of selling at least 10 cheesecakes =P(X≥10)

= 0.28

c.  the probability of selling 5 or 15 chassescakes P(5)++P(15)=0.48

d.  the probaility of selling 25 cheesecakes = 0

e. Give the expected number of cheesecakes sold in a day using the discrete probability distribution?

=

f. the probability of selling at most 10 cheesecakes

=P(X≤10)

= 0.84