Question

On average the tech giants (Alphabet, Amazon, Apple, Facebook and Microsoft) acquire one company per week. We are going to model these acquisitions using the Poisson distribution.

Q26. What is the probability the techgiants will take over exactly 2 companies next week?

1. between 0.0 and 0.1
2. between 0.1 and 0.2
3. between 0.2 and 0.3
4. between 0.3 and 0.5
5. between 0.5 and 1.0

Q28. What is the probability the techgiants will take over less than 3 companies during the next 4 weeks?

1. between 0.0 and 0.1
2. between 0.1 and 0.2
3. between 0.2 and 0.3
4. between 0.3 and 0.5
5. between 0.5 and 1.0

Q27. In the first 2 days of this week the techgiants acquired 1 company. What is the probability that they will acquire exactly 1 more company in the remaining 5 days of this week?

1. between 0.0 and 0.1
2. between 0.1 and 0.2
3. between 0.2 and 0.3
4. between 0.3 and 0.5
5. between 0.5 and 1.0

Answer 1

Average number of companies acquired = 1 per week

26)

The required probability = P(X = 2)

= = 0.184

The answer is between 0.1 and 0.2

28)

Average number of companies acquired in four week period = 4

The required probability = P(X < 3)

= P(X = 0) + P(X = 1) + P(X = 2)

=

= 0.238

The answer is between 0.2 and 0.3

27)

The required probability = P(1 company in 5 days)

=

= 0.3497

The answer is between 0.3 and 0.5