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1)Complete the mean and variance of the following discrete probability distribution

Statistics Feb 24, 2021

1)Complete the mean and variance of the following discrete probability distribution.

x

P(x)

0

.2

1

.4

2

.3

3

.1

 

2.  The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester based on past experience. What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation.

Admissions

Probability

1000

.60

1200

.30

1500

.10

 

3. A local courier service reports that 95 percent of bulk parcels within the same city are delivered within two days. Six parcels are randomly sent to different locations

  1. What is the probability that all six arrive within two days?
  2. What is the probability that exactly five arrive within two days?
  3. Find the mean number of parcels that will arrive within two days.
  4. Compute the variance and standard deviation of the number that will arrive within two days.

4.  A telemarketer makes six phone calls per hour and is able to make a sale on 30 percent of these contacts. During the next two hours, find:

  1. The probability of making exactly four sales.
  2. The probability of making no sales.
  3. The probability of making exactly two sales.
  4. The mean number of sales in the two-hour perio

 

 

 

 

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