1. What is the degree of the monomial 3x^4yz? A 4 B 6 C 7 D 8
2 answers:
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Answer:
Option C) 146.5
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 130 weeks
Standard Deviation, σ = 10 weeks
We are given that the distribution of completion time is a bell shaped distribution that is a normal distribution.
Formula:
P(X<x) = 0.95
We have to find the value of x such that the probability is 0.95
P(X < x)
Calculation the value from standard normal z table, we have,
The project should be completed in 146.5 weeks or less.
Hence, 146.5 weeks should be set the due date such that there is a 95 percent chance that the project will be finished by this time.
Answer:
Probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.
Step-by-step explanation:
We are given that according to a recent New York Times poll, 25% of the public have responded to a telephone call-in poll.
Also, five people have people have been randomly selected.
The above situation can be represented through binomial distribution;
where, n = number trials (samples) taken = 5 people
r = number of success = exactly two
p = probability of success which in our question is probability that
public have responded to a telephone call-in poll, i.e; p = 25%
<em><u>Let X = Number of people who have responded to a telephone call-in poll</u></em>
So, X ~ Binom(n = 5, p = 0.25)
Now, probability that exactly two people out of group of five people have responded to a telephone call-in poll is given by = P(X = 2)
P(X = 2) =
=
= <u>0.264</u>
<em>Therefore, the probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.</em>