Essay about Week 4 Ilab

31. Consider the following distribution and random numbers: If a simulation begins with the first random number, what would the first simulation value would be __________.

Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.

For parts b, c, and d in this problem all variables remain the same except the one specifically changed. Each question is independent of the others.)

A significant number of computation and permutation problems were answered incorrectly. Although I understand the basic equation, I am having difficulty when applying them to real world situations. Additional practice is required.

2. Calculate the expected rate of return on each of the five investment alternatives listed in Exhibit 13.1 (p. 106). Based solely on expected returns, which of the potential investments appears best?

Assume that (i) if the trial proceeds, it is excepted to last at least one month and to result in one of two possible outcomes in terms of the price per share established in court; the $273,000, being claimed by the plaintiffs, or the $55,400 being defended by Herbert Kohler; (ii) Kohler estimates the probabilities of these two outcomes at 30% and 70% respectively.

2. Calculate the expected rate of return on each of the five investment alternatives listed in Exhibit 13.1. Based solely on expected returns, which of the potential investments appear best?

Model C: p(x=1) = 12/25, p(x=2) = 12/50, p(x=3) = 12/75, p(x=4) = 12/100. (Notice that the

A). – What is the least you will sell your claim for if you could earn the following rates of return on similar risk investments during the ten-year period?

The probability rates are calculated from a rate of 0 to 1 and the combined rate of each probability equal a total of 1.

3. This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.

, and each with its own Boolean-valued outcome: a random variable containing single bit of information: success/yes/true/one (with probabilityp) or failure/no/false/zero (with probability q = 1 − p). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance.

17. The probabilities of the events A and B are .20 and.30, respectively. The probability that

a − 2b ≤ 2, a, b ≥ 0. An optimal solution is: (A) a=4, b=0, (B) a=0, b=1, (C) a=3,b=1/2, (D) None of the above. ∫ −1 1 22. The value of −4 x dx equals, (A) ln 4, (B) Undefined, (C) ln(−4) − ln(−1), (D) None of the above. 23. Given x ≥ y ≥ z, and x + y + z = 9, the maximum value of x + 3y + 5z is (A) 27, (B) 42, (C) 21, (D) 18. 24. A car with six sparkplugs is known to have two malfunctioning ones. If two plugs are pulled out at random, what is the probability of getting at least one malfunctioning plug. (A) 1/15, (B) 7/15, (C) 8/15, (D) 9/15. 25. Suppose there is a multiple choice test which has 20 questions.

Calculate the expected rate of return on each alternative and fill in the blanks on the row for r(hat) or the expected rate of return in the previous table.