I need help with questions 5 and 6 please. Include the units if possible ! 5. Th

Question

I need help with questions 5 and 6 please. Include the units if possible ! 5. The following table shows the results of a survey in which 104 families were asked if they own a computer and if they will be taking a suinmer vacation this year Total 45 59 104 Summer Vacation No Summer Vacation Own a Computer Do Not Own a Computer Total 37 40 19 27 a. Find P(summer vacation) b. Find P(own a computer no summer vacation) 101 c. Find P(summer vacation and own a computer) d. Find P(summer vacation or own a computer) e. Are the events in part (d) mutually exclusive? 6. You draw one card from a standard deck of 52 cards. a. Find P(Ace or 5) b. Find P(Spade or 9)

Explanation / Answer

5. From the table,

a. P(summer vacation) = 77/104 = 0.7404

b. P(own a computer | no summer vacation) = 8/27 = 0.2963

c. P(summer vacation and own a computer) = 37/104 = 0.3558

d. P(summer vacation or own a computer) = (37+8+40)/104 = 85/104 = 0.8173

e. The events in d. are not mutually exclusive as c. did not give 0.

6. a. There are 4 aces and 4 fives, 8 in all

=> P(Ace or 5) = 8/52 = 0.1538

b. There are 13 spades and 3 other 9s, 16 in all

=> P(Spade or 9) = 16/52 = 0.3077

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