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Sagot :
To solve this problem, we can simply use the formula of normal distribution and substitute the values where required.
The value of P(x <= 44) is 0.025 which is option D
Probability
Given the value of the mean, normal distribution and standard deviation, we can calculate where the value lies
Data;
- Mean = 50
- S.D = 3
- X = 44
But we know that
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Let's substitute the values of x, standard deviation and mean into the equation above
[tex]z = \frac{x-\mu}{\sigma} \\z = \frac{44-50}{3} =-2[/tex]
Solving this further;
[tex]P(z\leq -2) = \frac{1}{2} - \frac{1}{2}(0.9545)\\p(z\leq -2) = 0.025[/tex]
The value of P(x <= 44) is 0.025 which is option D
Learn more on normal distribution here;
https://brainly.com/question/16022092
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