Problem 3 (3points In an August 2012 Gallup survey of 1,012 randomly selected us

Question

Problem 3 (3points In an August 2012 Gallup survey of 1,012 randomly selected us adults (age 18 ar dover)53% said that they were dissatisfied with the quality of education students receive in kindergarten through t is the probability that you randomly select 2 adults who filled out this survey and the first selected said they work were dissatisfied while the second adult selected said they were satisfied? Show Problem4 (6 polnts total) At the end of a production run manufacturing rubber gaskets, items are sampled at random and inspected to determine if the item is Acceptable (AL, or Defective (D). Suppose it is planned to select two iterms and determine if each is either A or D. a. (2 points) What is the sample space S of the outcomes? (4 points) What is the probability that both of the selected gaskets are defective? Show all necessary work b.

Explanation / Answer

Question 3:

Here we are given that probability that a person is dissatisfied with the quality of education students receive in kindergarden through grade 12 is given as 0.53

Now in the randomly selected 2 adults, probability that the first adult was dissatisfied and the second one is satisfied is computed as: ( Using multiplicative rule )

= Probability that the first selected adult was dissatisfied * Probability that the second selected adult was satisfied

= 0.53*( 1 - 0.53 )

= 0.2491

Therefore 0.2491 is the required probability here.

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