A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution below. Fifty people work for the manager. How many people work 4 hours per shift? Probability DistributionHours Worked: XProbability: P(X)30.14?50.1460.370.3680.060124

Answer:c. 2Step-by-step explanation:Given : X = No. of hours worked            No. of people work for the manager = 50            X = 3, 4 , 5 , 6 , 7, 8            P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06To Find : No. of people work for four hours Solution : First understand the fact that sum of all probabilities is equal to 1 So, sum of all values of P(X) = 1⇒[tex]0.1+?+0.14+0.3+0.36+0.06 = 1[/tex]⇒[tex]0.96+? = 1[/tex]⇒[tex]?= 1-0.96[/tex]⇒[tex]? = 0.04[/tex]So, the probability of no. of people worked for 4 hours is 0.04.⇒P(4)=0.04Thus , To calculate no. of people work for four hours :[tex]0.04\times 50[/tex]⇒ 2 no. of people work for four hours per shift .