Question

this assignment is to be completed in class; remote completion will not be accepted. question 10 0.5 pts the age of a first grader on september 1 at garden elementary school is uniformly distributed from 5.8 to 6.8 years. we randomly select one first grader from the class. find the probability that she is between four and six years. a. 0.2 b. 0.3 c 0.29 d. p612

Explanation:

Step1: Determine the valid range

The age is uniformly distributed from \(a = 5.8\) to \(b=6.8\). The range of interest for the probability is from \(x_1 = 5.8\) (since \(4<5.8\)) to \(x_2 = 6\).

Step2: Use the formula for uniform distribution probability

The formula for the probability of a uniform distribution \(P(c<X<d)=\frac{d - c}{b - a}\), where \(a = 5.8\), \(b = 6.8\), \(c = 5.8\), \(d = 6\).

$$P(5.8

$$=\frac{0.2}{1}=0.2$$

Answer:

A. 0.2

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