3. From past experience, it is found that the number of typing errors made by Mary follows a Poisson distribution. The probability that there are no errors made on a randomly chosen page is 0.7788. (a) Find the mean and the standard deviation for the numb
3. From past experience, it is found that the number of typing errors made by Mary follows a Poisson distribution. The probability that there are no errors made on a randomly chosen page is 0.7788. (a) Find the mean and the standard deviation for the number of mistakes made on a page. (b) Determine the expected number of mistakes made on 8 randomly chosen pages. [3] (c) If 20 pages were randomly chosen, find the expected number of pages that do not require correction.
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3. From past experience, it is found that the number of typing errors made by Mary follows a Poisson distribution. The probability that there are no errors made on a randomly chosen page is 0.7788. (a) Find the mean and the standard deviation for the numb
B1) The random variable Krepresents the number of typing errors per page in a student' dissertation,...
B1) The random variable Krepresents the number of typing errors per page in a student' dissertation, with the following probability distribution: [SKI: 5 Marks] 00.05 0.30 2 0.40 3 0.15 4 0.10 1) Find the expected number of errors per page. 2) Find the variance and standard deviation of the random variable. 3) Find the following probability: P(X23) (2 Marks) (2 Marks) (1 Marks)
1) Suppose x has a Poisson probability distribution with mean 4.84. Find standard deviation. 2)Assume that...
1) Suppose x has a Poisson probability distribution with mean 4.84. Find standard deviation. 2)Assume that x has a Poisson probability distribution. Find P(x = 6) when population mean is 1.0. 3)Assume that x has a Poisson probability distribution. Find P(x < 3) when population mean is 4.5
1) A sample of size 25 is chosen from a population. Assume the probability distribution is...
1) A sample of size 25 is chosen from a population. Assume the probability distribution is normal. If the mean of the sample is 80 and the standard deviation is 6, find the lower bound of the 99% confidence interval. Round off to three decimal places. 2) A sample of size 36 is chosen from a population. The sample mean is 50 and the standard deviation is 5. Find the upper limit of the 95% confidence interval for the population...
Question 5 (12 marks) Suppose the body mass index (BMI) of Australian males follows a normal distribution with a mean (µ) of 25 and a standard deviation (σ) of 4. Consider a randomly chosen Australian...
Question 5 (12 marks) Suppose the body mass index (BMI) of Australian males follows a normal distribution with a mean (µ) of 25 and a standard deviation (σ) of 4. Consider a randomly chosen Australian male. (a) Calculate the probability that his BMI is less than 22. [2 marks] (b) Calculate the probability that his BMI is between 22 and 29. [3 marks] (c) Below which level would we find the lowest 5% of BMI for Australian males? [3 marks]...
3) For the given probability distribution, find the mean and standard deviation
3) For the given probability distribution, find the mean and standard deviation
Question 3: The number of cars arrive at a gas station follows a Poisson distribution with...
Question 3: The number of cars arrive at a gas station follows a Poisson distribution with a rate of 10 cars per hour. Calculate the probability that 2 to 4 (inclusive) cars will arrive at this gas station between 10:00 am and 10:30 am. What are the mean and standard deviation of the distribution you have used to answer part a?
1. Find the mean and Standard Deviation for the following probability distribution. Number of girls in...
1. Find the mean and Standard Deviation for the following probability distribution. Number of girls in 4 births: 0 , 1, 2 , 3, 4 Probability: 0.0625 , 0.25 , 0.375 , 0.25 , 0.0625 2. Mendel conducted experiments using pea plants. Assume that a pea has a 75% chance of having green pods. If Mendel collected 600 pea plants, how many pea plants would he expect to have green pods? 3. What is the Standard deviation for the previous...
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Suppose the number of patients per week that visit a health center follows a Poisson distribution...
Suppose the number of patients per week that visit a health center follows a Poisson distribution with a rate of 300 patients per week. Let the random variable X count the number of patients per week that visit the health center. A) State the distribution of the random variable defined above B) Compute the probability that during a randomly selected week exactly 280 patients visit the health care center C) Compute the probability that during a randomly selected week at...
B1) The random variable Krepresents the number of typing errors per page in a student' dissertation, with the following probability distribution: [SKI: 5 Marks] 00.05 0.30 2 0.40 3 0.15 4 0.10 1) Find the expected number of errors per page. 2) Find the variance and standard deviation of the random variable. 3) Find the following probability: P(X23) (2 Marks) (2 Marks) (1 Marks)
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