iv. If 80 persons are introduced to the product, determine the number of persons who are expected to buy the product. b) It is known that an average of 5 trains pass through Grand Central Terminal every 30 minutes. Find the probability that Exactly 4 trains will pass in 30 minutes ii. i. less than 2 trains will pass in an hour

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question (iv)

And Question B (i) & (ii) 

 

a) Market research has shown that 60% of persons who are introduced to a certain product
actually buy the product. A random sample of 15 persons were introduced to the product.
Define the variable of interest for this scenario.
i.
What probability distribution do you think best describes the situation? Why?
iii. Calculate the probability that exactly 9 will buy the product.
iv. If 80 persons are introduced to the product, determine the number of persons who are
expected to buy the product.
ii.
b) It is known that an average of 5 trains pass through Grand Central Terminal every 30
minutes. Find the probability that
Exactly 4 trains will pass in 30 minutes
less than 2 trains will pass in an hour
i.
ii.
Transcribed Image Text:a) Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product. Define the variable of interest for this scenario. i. What probability distribution do you think best describes the situation? Why? iii. Calculate the probability that exactly 9 will buy the product. iv. If 80 persons are introduced to the product, determine the number of persons who are expected to buy the product. ii. b) It is known that an average of 5 trains pass through Grand Central Terminal every 30 minutes. Find the probability that Exactly 4 trains will pass in 30 minutes less than 2 trains will pass in an hour i. ii.
Expert Solution
Step 1

a)

iv.

The variable X is defined as ‘the number of persons who are introduced to a certain product and actually buy the product’.

Eight persons are introduced to the product. That is, n=80.

The number of persons who are expected to buy the product is,

Number of persons=np=80×0.60=48

Thus, the number of persons who are expected to buy the product is 48.

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