6) Find the probability of at least 2 girls in 10 births. Assume that male and female births are equallylikely and that the births are independent events.B) 0.945A) 0.044C) 0.989D) 0.011Assume that X has a normal distribution, and find the indicated probability.6)7)

Given that Number of trials n=10 Success of probability p =0.5 X~binomial (n,p)

Answered: 6) Find the probability of at least 2…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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36) The time X needed to complete a final examination in a particular College Course is normally distributed with a mean of 60 minutes and standard deviatation of 10 minutes. The Probability of completing The exam in less than 70 minutes. is A) 0.9655. B)0, 1387 C) 0.8413 D) 0.0345
Suppose that births in a hospital occur randomly at an average rate of 1.9 births per hour. Assume that the probability of a birth is the same for any two time intervals of equal length. a. Which distribution can we use in this case? b. What is the probability that we observe at least 3 births in a 2-hour interval?c. Suppose that births occur randomly in hospital A and hospital B at an average rate of 2.1 births and 3 births per hour, respectively. What is the probability that we observe 7 births in total from the two hospitals in a 1-hour period?
The population mean time it takes to empty a bottle of liquid is 80 minutes with a standard deviation of 6 minutes. A sample of 60 bottles is taken. What is the probability that the sample mean is at most 78 minutes? A) 0.9951 B 0.9963 C) 0.0037 D) 0.0049
Assume that the actual flight times between two cites M and C are uniformly distributed between 190 min. and 324 min. what is the probability between 200 min. and 311 min (answer to 3 decimal points)
8) At one college, GPA's have a distribution that is unimodal and symmetric with a mean of 2.6 and a standard deviation of 0.5. Is a GPA of 3.8 more than one standard deviation above the mean? A) Yes B) No
You are testing the claim that the mean GPA of night students is different than the mean GPA of day students.You sample 25 night students, and the sample mean GPA is 2.57 with a standard deviation of 0.83You sample 45 day students, and the sample mean GPA is 2.12 with a standard deviation of 0.49Calculate the test statistic, rounded to 2 decimal places
15 - A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and Y is the random variables representing the total number of heads, what is the standard deviation of Y? calculate.A) 1.414B) 0.5C) 1.225D) 0.866E) 0.707
3. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. a). Find the probability that for 36 jets the average taxi and takeoff time is less than 8.33 minutes per plane. b). Find the probability that for 36 jets the average taxi and takeoff times is more than 8.55 minutes.
An airline knows that the number of suitcases it losses per week is in normal distribution with mean 26,2 and standard deviation - 5.8. Find the probabilities that in one week on the give route it willlose a) Exactly 22 suitcases b) Almost 22 suitcases c) At least 22 suitcases
X - N(H = 30 and =100) if there is a normal distribution a) What is the probability that x is between 30 and 50? b) What is the probability that x is found between 20 and 40? c) What is the probability that x is found between 35 and 45? d) What is the probability that x is less than 25? e) What is the probability that x is greater than 20?
a) What is the probability that a randomly selected adult in the U.S. has at least one grandparent who was born outside of the U.S.? b) find the expected number of grandparents who were born outside of the U.S. that a randomly selected adult in this country has. (Find the mean of X) c) find the standard deviation of X. Round to 4 decimal places.

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6) Find the probability of at least 2 girls in 10 births. Assume that male and female births are equally likely and that the births are independent events. B) 0.945 A) 0.044 C) 0.989 D) 0.011 Assume that X has a normal distribution, and find the indicated probability. 6)