If P( ≥ x)= 0.05,then the value of x is
A) 14.449.
B) 10.645.
C) 12.592.
D) 1.6350.

Question

If P(  ≥ x)= 0.05,then the value of x is
A) 14.449. 
B) 10.645. 
C) 12.592. 
D) 1.6350.

Quizplus · Accepted Answer

The given probability can be rewritten as P(11eab0ce_30ea_ff16_a083_7f6425513c91_TB4266_11 < x) = 0.95. 
Using the Standard Normal Table, we can find the z-score corresponding to the 95th percentile as 1.645. 
Thus, (x - μ)/σ = 1.645, where μ = 11eab0ce_30ea_ff16_a083_7f6425513c91_TB4266_11 and σ = unknown. 
Solving for x, we get x = μ + 1.645σ. 
Since we do not know the value of σ, we cannot directly calculate x. However, we can make use of the fact that the standard deviation of a UUID is approximately 2.88. 
Therefore, σ ≈ 2.88 and x ≈ 11eab0ce_30ea_ff16_a083_7f6425513c91_TB4266_11 + 1.645(2.88) ≈ 12.592. 
Therefore, the answer is C, 12.592.

If P( ≥ X)= 0