The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number Of Goals 0 1 2 3 4Probability 0.05 0.15 0.35 0.30 0.15 What is the probability that in a given game the Lions do not score more than 2 goals? (A) 0.55 (B) 0.95 (C) 1.0 (D) 0.20
Accepted Solution
A:
Answer:The correct answer is:(A) 0.55 Step-by-step explanation:This probability distribution means that we have these following probabilities:[tex]P(X = 0) = 0.05[/tex][tex]P(X = 1) = 0.15[/tex][tex]P(X = 2) = 0.35[/tex][tex]P(X = 3) = 0.30[/tex][tex]P(X = 4) = 0.15[/tex]What is the probability that in a given game the Lions do not score more than 2 goals? This is the following probability.[tex]P = P(X = 0) + P(X = 1) + P(X = 2)[/tex][tex]P = 0.05 + 0.15 + 0.35[/tex][tex]P = 0.55[/tex]The correct answer is:(A) 0.55