Find the indicated probability. An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with µ = 15.5 and o = 3.6. What is the probability that during a given week the airline will lose between 10 and 20 suitcases? 0.1056 0.4040 0.3944 0.8314

Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 94 87 83 104 98 108 84 89 The sample mean is x = 93.4. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that o = 12.5. The mean glucose level for horses should be u = 85 mg/100 ml.t Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 85; H,: u + 85; two-tailed O Ho: H = 85; H: µ > 85; right-tailed O Ho: H > 85; H,: µ = 85; right-tailed O Ho: H = 85; H,: µ < 85; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume…

Let X be the number of workouts a person does in a week. Suppose that X has the following probability distribution: 3 e d C # $ SB 4 C A. What is the expected number of workouts a person Standard deviation = r Expected value B. What is the standard deviation of the number of workouts a person f V You can use the tool below to help you compute standard deviation. % 5 t ca b 6 X 0 P p| 0.09 Oll y h hop & 7 n 1 2 3 0.14 0.43 | 0.25 O u does per Round to 2 decimal places, as needed. does per week? j Round to 2 decimal places, as needed. * 00 week? 8 4 0.09 3 k ( 9 O < alt O р ctrl [ ? + 11 = 1 < backs 1

Assume you have a normal distribution representing the likelihood of project completion times. The mean of this distribution is 14, and the standard deviation is 4. The probability of completing the project in 15 or fewer days is:  a. 0.59 b. 0.27 c. 0.93 d. 0.75