Please answer this questions.
Identiz the choice that best completes the statement or answers the question. Pitta?! multiple choice answers in the box on page 2 l. The following table is a valid probability distribution for a random variable X. What must be the value for P(2) to complete the table? X Pan 0 0.15 1 0.2 2 3 0.4 a) 0.15 b) 0.2 c} 0.25 d) 0.3 2. A random variable X is dened as the number of heads observed when a coin is tossed 4 times. The probability dis- tribution for this random variable is shownbelow. X . 0 _ 1 2 33 4 P (X) 1 6 .1 1 16 ' 16 16 16 16 Which of the following statements is not true? a) The probability of no heads is the same as the probability of 4 heads b) The most likely outcome is 2 heads c} The expected value is 6/ 16 d) The probability of not tossing 2 heads is greater than the probability of tossing 2 heads 3. Which of the following is not a property of a Binomial Experiment? a) All trials are identical. b) Each trial has only two possible outcomes. c) The probability of success may change from trial to trial. 0') The purpose of the experiment is to determine the number of successes that occurs during the n trials. 8 {0.213(0315 4. In the following expression, which value represents the number of trials: a}2 b)3 c}5 d)8 5. The probability of a computer memory chip being defective is 0.02. Which of the following statements is true? a) In a shipment of 100 chips, two will be defective. b) The expected number of defective chips in a shipment of 500 is ten. c) In a shipment of 1000 chips, it is certain that at least one will be defective. d) All statements above are false. 6. Ayoung couple plans to have a family with four children; what is the expected number of girls for their family? a) 2.5 c) 2 b) 2.25 d) 1.5 7. When np> 5 and n(l-p)>5, which ofthe following is true: a} the binomial distribution can be approximated to a normal distribution b) the normal distribution can be approximated to a binomialdistribution c} the normal distribution can provide a z-sore probability d) the probability distribution of a binomial event is approximated