On the midnight shift, the number of patients with head trauma in an emergency room has...

On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below.


x	0	1	2	3	4	5	Total
P(x)	.09	.32	.27	.17	.11	.04	1.00

(a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.)

Solutions

Expert Solution

Solution:

x	P(x)	x * P(x)	x2 * P(x)
0	0.09	0	0
1	0.32	0.32	0.32
2	0.27	0.54	1.08
3	0.17	0.51	1.53
4	0.11	0.44	1.76
5	0.04	0.2	1
Sum	1	2.01	5.69

Mean = X * P(X)

= 2.01

Standard deviation =

=X 2 * P(X) - 2

= 5.69 - (2.01)2 = 1.6499

Standard deviation = = 1.284

orchestra answered 1 year ago

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