1. Stephanie accepts orders for cupcakes. In a given weekend, the probabilities that there will be 0,1,2,3 or 4 clients are 0.2, 0.25, 0.2, 0.1 and 0.25 respectively. a. Construct the probability distribution. Clients(C) 01234 P(C=c) b. Find the probability that on a given weekend, she will have at least 3 clients. Answer: c. Determine Stephanie's expected number of clients on a given weekend. Mean:

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kindly answer a-d or a-b. use 3-4 decimal places, thank you.

1. Stephanie accepts orders for cupcakes. In a given weekend, the probabilities that there will be 0,1,2,3 or 4
clients are 0.2, 0.25, 0.2, 0.1 and 0.25 respectively.
a. Construct the probability distribution.
Clients(C) 0123 4
P(C=c)
b. Find the probability that on a given weekend, she will have at least 3 clients.
Answer:
c. Determine Stephanie's expected number of clients on a given weekend.
Mean:
d. Determine the variance and standard deviation of the probability distribution of the random
variable.
C P(C=c) C*P(C=c)(c-µ)(c-µ)² (c-µ)**P(C=c)
0 0.20
1 0.25
2 0.20
3 0.10
4 0.25
Мean:
Var.:
STD
Transcribed Image Text:1. Stephanie accepts orders for cupcakes. In a given weekend, the probabilities that there will be 0,1,2,3 or 4 clients are 0.2, 0.25, 0.2, 0.1 and 0.25 respectively. a. Construct the probability distribution. Clients(C) 0123 4 P(C=c) b. Find the probability that on a given weekend, she will have at least 3 clients. Answer: c. Determine Stephanie's expected number of clients on a given weekend. Mean: d. Determine the variance and standard deviation of the probability distribution of the random variable. C P(C=c) C*P(C=c)(c-µ)(c-µ)² (c-µ)**P(C=c) 0 0.20 1 0.25 2 0.20 3 0.10 4 0.25 Мean: Var.: STD
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