Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
Q.1:
1748/38=46
The sprinkler can spray 46 gallons of water in 1 minute.
Q.2:
1408/32=44
The auto factory can build 44 trucks in 1 day.
Q.3:
31*27=837
They need to hire 837 employees.
Q.4:
1326/26=51
The parking lot will have 51 cars per row.
Q.5:
761*23=17503
The machine can make 17,503 pencils in 23 seconds
Q.6:
1023*71=72633
The mail trucks have 72,633 pieces of junk mail in total.
Answer:
A = (1/2)(base)(height)
Step-by-step explanation:
Yes, that's correct:
A = (1/2)(base)(height)
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