Question

4.1 The following table contains the probability distribution of X, the number of defective welds in a given length of pipe: $X_i$ 0 1 2 3 4 Assignment 4 $P_x( )_i$ 0.14 0.26 0.42 0.12 0.03 MNO2502 May/June 2024 (a) Compute the mean number of defective welds in a given length of pipe. (3) (b) Calculate the standard deviation of the number of welds in a given length of pipe. (4)

          4.1 The following table contains the probability distribution of X, the number of defective welds in a given length of pipe:
$X_i$
0
1
2
3
4
Assignment 4
$P_x( )_i$
0.14
0.26
0.42
0.12
0.03
MNO2502
May/June 2024
(a) Compute the mean number of defective welds in a given length of pipe.
(3)
(b) Calculate the standard deviation of the number of welds in a given length of pipe. (4)

4.1 The following table contains the probability distribution of X, the number of defective welds in a given length of pipe:
Xi
0
1
2
3
4
Assignment 4
Px( )i
0.14
0.26
0.42
0.12
0.03
MNO2502
May/June 2024
(a) Compute the mean number of defective welds in a given length of pipe.
(3)
(b) Calculate the standard deviation of the number of welds in a given length of pipe. (4)

Added by Sheila R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Taha T

03/27/2024

Step 1

Step 1: The mean of a discrete random variable is calculated as follows: $\mu = \sum_{i=1}^{n} x_i * P(x_i)$ where $x_i$ is the value of the random variable and $P(x_i)$ is the probability of that value. Show more…

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4.1 The following table contains the probability distribution of X, the number of defective welds in a given length of pipe: $X_i$ 0 1 2 3 4 Assignment 4 $P_x()_i$ 0.14 0.26 0.42 0.12 0.03 MNO2502 May/June 2024 (a) Compute the mean number of defective welds in a given length of pipe. (3) (b) Calculate the standard deviation of the number of welds in a given length of pipe. (4)