The value of [tex]x \sim B (10, 0.75)[/tex] for x = 5 is 0.06
How to solve the probability?
The expression is given as:
[tex]x \sim B (10, 0.75)[/tex]
This means that:
n = 10
p = 0.75
The probability is then calculated as
[tex]P(x)= ^nC_x * p^x *(1 - p)^{n-x[/tex]
This gives
[tex]P(5)= ^{10}C_5 * 0.75^5 *(1 - 0.75)^5[/tex]
Evaluate the combination expression
[tex]P(5)= 252 * 0.75^5 *0.25^5[/tex]
Evaluate
P(5)= 0.06
Hence, the value of [tex]x \sim B (10, 0.75)[/tex] for x = 5 is 0.06
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