Question

1) Using the Binomial distribution, If n=6 and p=0.4, find P(X=5) This translates to 5 successes and 1 failure(s) in 6 trials Round to 3 decimal places. 2) A poll is given, showing 35% are in favor of a new building project. If 10 people are chosen at random, what is the probability that exactly 6 of them favor the new building project? Round to 3 decimal places 3) A manufacturing machine has a 5% defect rate. If 4 items are chosen at random, what is the probability that at least one will have a defect? 4) If a seed is planted, it has a 95% chance of growing into a healthy plant. If 7 seeds are planted, what is the probability that exactly 3 don't grow? 5) About 8% of the population has a particular genetic mutation. 400 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 400. 6) About 2% of the population has a particular genetic mutation. 300 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 300. 7) Assume that a procedure yields a binomial distribution with a trial repeated n=9 times. Use the binomial probability formula to find the probability of k=6 successes given the probability p=3/10 of success on a single trial. (Report answer accurate to 4 decimal places.) P(X=6)= 8) Assume that a procedure yields a binomial distribution with a trial repeated n=9 times. Use the binomial probability formula to find the probability of k=7 successes given the probability p=0.53 of success on a single trial. (Report answer accurate to 4 decimal places.) P(X=k)=

          1)
Using the Binomial distribution,
If n=6 and p=0.4, find P(X=5)
This translates to 5 successes and 1 failure(s) in 6 trials
Round to 3 decimal places.
2)
A poll is given, showing 35% are in favor of a new building
project.
If 10 people are chosen at random, what is the probability that
exactly 6 of them favor the new building project?
Round to 3 decimal places
3)
A manufacturing machine has a 5% defect rate.
If 4 items are chosen at random, what is the probability that
at least one will have a defect?
4)
If a seed is planted, it has a 95% chance of growing into a
healthy plant.
If 7 seeds are planted, what is the probability that exactly 3
don't grow?
5)
About 8% of the population has a particular genetic mutation. 400
people are randomly selected.
Find the mean for the number of people with the genetic mutation in
such groups of 400.
6)
About 2% of the population has a particular genetic mutation. 300
people are randomly selected.
Find the standard deviation for the number of people with the
genetic mutation in such groups of 300.
7)
Assume that a procedure yields a binomial distribution with a
trial repeated n=9 times.
Use the binomial probability formula to find the probability of k=6
successes given the probability p=3/10 of success on a single
trial.
(Report answer accurate to 4 decimal places.)
P(X=6)=
8)
Assume that a procedure yields a binomial distribution with a trial
repeated n=9 times. Use the binomial probability formula to find
the probability of k=7 successes given the probability
p=0.53 of success on a single trial.
(Report answer accurate to 4 decimal places.)
P(X=k)=

Added by Jennifer A.

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