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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8) a) In simple words describe the median, dos, of the probability distribution for a continuous random variable Y. b) Write the median for a random variable with uniform distribution on the interval [a,b]. c) Write the median for a normal distribution with mean u and standard deviation o. d) Find the median for an exponential distribution with mean ß.
5. Suppose that the number of insects caught in a spider's web in one day follows a Poisson distribution with rate = 2.6. For the questions that follow, make sure to define a random variable, state its distribution (including parameters), and translate the question into a probability statement. %3D wg probal b What is the probability that the spider catches at least one insect in 12 hours? PUS 18)
Fusi Q1) a- if the percentage infection of a disease in a country was 0.005. Thus, using binomial distribution the probability that there was no infection by that :disease in a town of 100,000 population is 0.00467 O 0.00476 O 0.00647 O 0.00674 O none of all above O
Q2) a). Two balanced dice are rolled. What is the probability that the sum of dots on the top space of both the dice is 10? b). The mean and standard deviation of a binomial probability distribution is 2 and I respectively. Calculate Probabilities for random variable X = 0, 1, 2, 3 and 4.
Bill Dorfman is a champion shooting marksman with the Canadian Armed Forces. From 100 yards he can hit the center bullseye 92% of the time. In his upcoming competition he will be required to take 7 shots at the 100-yard range. a) Is this a uniform, binomial, or hypergeometric distribution? Explain? b) What does the random variable represent? What is/are the value(s) it can take? c) Calculate the probability that he won't hit the bullseye in all 7 shots. d) Calculate the expected value and interpret the meaning of it. e) Create a probability distribution table, for the number of bullseye hit in all 7 shots.
3. Calculate the mean, variance, and standard deviation of a binomial probability distribution, using the data: n = 9, x = 6, q = 0.75. a) Average b) Variance c) Standard Deviation
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.
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?
Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 111 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability that exactly 26 voted The probability that exactly 26 of 111 eligible voters voted is (Round to four decimal places as needed.)
Consider the probablity that no less than 96 out of 151 registered voters will vote in the presidential election. Assume the probability that a given registered voter will vote in the presidential election is 64 % Approximate the probability using the normal distribution. Round your answer to four decimal places.
Assume that 6 jurors are randomly selected from a population in which 59% of the people are female. Refer to the probability distribution table below and find the indicated probabilities. Number of female jurors Probability 0 1 2 3 4 5 6 a) Find the mean number of female jurors. b) Find the probability of more than 3 female jurors. Note: If you type the values in your table into the Non-Binomial Discrete Distribution section of the binomial sheet, you will get the same mean, standard deviation and variance that you get on the first section of the sheet.

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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)