A local bakery has determined a probability distribution for the number of cheesecakes it sells in a given day. The distribution is as follows: Find the number of cheesecakes that this local bakery expects to sell in a day.

Complete question :

A local bakery has determined a probability distribution for the number of cheesecakes it sells in a given day. The distribution is as follows:

Number sold in a day 0 5 10 15 20 Prob (Number sold) 0.06 0.2 0.13 0.08 0.53

Find the number of cheesecakes that this local bakery expects to sell in a day.

A) 20 B) 14.1 C) 14.16 D) 10

Given the data:

14.1

Step-by-step explanation:

X : 0 ___5 10 15 20

P(X): _0.06 _0.2 __0.13 ___ 0.08 0.53

Exoectwd number of cheesecakes to be sold per day :

E(X) = ΣX*P(x)

E(X) = (0*0.06) + (5*0.2) + (10*0.13) + (15*0.08) + (20*0.53)

E(X) = 0 + 1 + 1.3 + 1.2 + 10.6

E(X) = 14.1

answer: the correct answer is -32

step-by-step explanation: