Jill and Mary are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and apple cheesecakes. Jill s
2 answers:
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Answer:
f(x)=(x-1)^2 -4
Step-by-step explanation:
use vertex form
Answer:
Step-by-step explanation:
The purchase of a house has binomial distribution with p=9% and n=9
a. To find the probability of one house being sold:
The value of x is 1:
Hence, the probability that one house is sold that day is 0.3809
b.The probability of at least one house is the same as the 1 minus the probability that no house was sold:
Hence,the probability that at least one house is sold that day is 0.5721
c. The mean of a binomial distribution is the product of the number of events times the probability of success=np
From a above, n=9 and p=0.09:
#The standard deviation is calculated as np(1-p):
Hence, the distribution has a mean of 0.81 and a standard deviation of 0.7371
d. Given that the probability of success is low, the overall successful events can only be increased by increasing the sample size, say n should be increased to 1000.
2. a.Given a Poisson distribution with mean=2.2
-The probability in a Poisson distribution is expressed as:
The probability of one person showing up is calculated as:
Hence , the probability that exactly one person shows up during a 1-hour period is 0.2438
b. the probability that at most 2 people will show up during a 1-hour period is calculated as:
Hence,the probability that at most 2 people will show up during a 1-hour period is 0.6227
c. The mean and variance of a Poisson distribution is equal:
Hence the mean after 8 hrs is 17.6 and the standard deviation will be 4.1952