Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: a. What is the probability all three of the selected homes have a security system? (Round your answer to 3 decimal places.) Probability

A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)

Task 3. The automobile engine plant delivered a batch of engines to the car assembly plant. 5 engines taken for testing. The probability of each of them to pass the test is 0.95. What is the likelihood that the tests will pass successfully: a) exactly three engines; b) at least three engines; c) all five engines; d) at least one engine?

Answering the following: A. Find the probability of drawing a catd that is red with an even number from a full deck of cards.B. Find the probability of drawing a card that is black without a number from a full deck of cards.

A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)

The probability of snow in Alaska is 0.8. The roads close on 40% of snowy days. On 18% of days the roads are open and it doesn't snow. In what percentage of days are the roads in Alaska open? a. 20 b. 66 c. 90 d. 34