Show step by step in all questions:

Question 1
Given: Z ~ (N 0,1)
Calculate:
1.1
1.2
1.3
1.4
1.5

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P(- 2.01 < Z < 2.5)
P(Z > 1.19)

1.6
1.7
1.8
1.9
1.10
Question 2
The daily output of an assembly line is normally distributed with a mean of 165units and a variance of 25 units2 . Find the probability that the number of unitsproduced per day is:
2.1 less than 162 units
2.2 greater than 173 units
2.3 between 171 units and 177 units
2.4 between 152 units and 174 units
2.5 If the assembly line produces an output of 500 items, how many items are smallerthan 155?
2.6 If the assembly line produces an output of 800 items, what percentage of items arelarger than 180 items?

P 10 part 2
Question 1
Assume a Poisson distribution with . What is the probability that
2.1
2.2
2.3
2.4
2.5
2.6

Question 2
Assume a Hypergeometric distribution with . What is the probability that
2.1
2.2
2.3
2.4
2.5
2.6

Question 3
Given/Gegee: Z ~ (N 0,1)
Calculate/Bereken:
1.1

P(- 2.15 < Z < 1.62)

1.2

P(Z > 2.28)

1.3
1.4
1.5
1.6

1.7
Question 4
A luxury passenger liner has 1200 passengers on board whose ages are normallydistributed around a mean of 60 years with a standard deviation of 10 years
2.1How many of the passengers are between 40 and 70 years old?
2.2What percentage of the passengers is between 45 and 75 years old