Name /or II Question 3. (a) (SPARKING PLUGS ARE ASSETS) Assume a mechanic bas on
ID: 3322877 • Letter: N
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Name /or II Question 3. (a) (SPARKING PLUGS ARE ASSETS) Assume a mechanic bas only two sparking plugs left in the shop. Suppose A be the event that the first sparking plug will work and B be the event that the second sparking plug will work Sparking Plugs Further assume that both the events A and B are independent. The probability that neither ofthe sparkingplugs will work is(0.50+DGD G5000) and the probability that the second sparking-plug will work is 0.15. What is the probability that the first phag will work? (b y (RUMORS FLY WITHOUT WINGS) Assume that it is true that a rumor takes an average of 8 hours with a standard deviation of 2.5 hours to get spread across the whole campus among the students and follows normal distribution. College girls make rumors One day at 2.00pm, Amy made a namor outside the library with a group of girl students At 5:00pm, while soing to home, she wooders what proportion of students will know her due to the rumor? Hint: Use Z-Table.Explanation / Answer
3) a ) being indpendent probability that neither of spark plug works=(1-P(A)*(1-P(B))=(0.5+441/(441+5000))
(1-P(A)*(1-0.15)=0.5811
hence P(A) =0.3164
b)
proportion who get to know her in 3 hours =P(X<3) =P(Z<(8-3)/2.5)=P(Z<2)=0.0228
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