Find the indicated probability. The distribution B.A. degrees conferred by a loc

Question

Find the indicated probability. The distribution B.A. degrees conferred by a local college is listed below, by major.________ Major Frequency English 2073 Mathematics 2164 Chemistry 318 Physics 856 Liberal Arts 1358 Business 1676 Engineering 868 9313 What is the probability that a randomly selected degree is in Engineering? Find the indicated probability by using the special addition rule. A relative frequency distribution is given below for the size of families in one U.S. city._____ Size Relative frequency 2 0.439 3 0.230 4 0.209 5 0.070 6 0.036 7+ 0.016 A family is selected at random. Find the probability that the size of the family is less than 5. Round approximations to three decimal places.

Explanation / Answer

1 ) Let , A be the selected degree is in engineering

Therefore ,

P ( A ) = n(A) / n (S ) = 868 / 9313 = 0.0932

2 ) Let , X be the size of the family

Therefore ,

P ( X < 5 ) = P ( X = 4 ) + P ( X = 3 ) + P ( X = 2 ) = 0.209 + 0.230 + 0.439 = 0..878

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