Question

A local bakery has determined a probability distribution for the number of cheesecakes that they sell in a given day,Number soldX05101520ProbabilityPIX)0.150.170.070.050.56Determine whether this is a discrete, binomial, or normal distribution1Find the expected number of cheesecakes that this bakery sells in a day.Elx) - ?

Answer 1

we are given a set of data and its corresponding probability. Since the data is given in a discrete way, that is single values as opposed to continuous values this is not a "normal distribution" since the normal distribution is used for continuous values. This is also not a binomial distribution since its values do follow that pattern as we can see in the following diagram:

Therefore, this is a discrete distribution.

The expected value of a discrete distribution of a random variable is given by the sum of the product of each variable by its corresponding probability, therefore, the expected value is:

`E=(0)(0.15)+(5)(0.17)+(10)(0.07)+(15)(0.05)+(20)(0.56)`

Solving the operations:

`E=13.5`