At a restaurant, 45% of pizzas are made incorrectly. A sample of 10 pizzas were studied. Let X be the number of pizzas in the sample that are made incorrectly.
a) What type of distribution and parameters are most relevant? Distribution: Parameters:
b) What is the probability that 2 of the pizzas were made incorrectly, P (X = 2)?
c) What is the probability that all 10 of the pizzas were made incorrectly, P(X=10)?
d) What is the expected number or mean number of pizzas made incorrectly?
e) What is the variance in pizzas being made incorrectly?
At a restaurant, 45% of pizzas are made incorrectly. A sample of 10 pizzas were studied....
7. A sample of college students were asked how much pizza they bought in a week. The results were put in a probability distribution table. a) Find P (x = 4). Find P (x < 2). b) Find the expected value of the number of pizzas in a week. Interpret the answer. x P (x) 0 0.10 1 0.34 2 0.23 3 0.15 4 0.18
we use those 2informations to do the following questions 0 Restaurant Data Probability of Correct Order at Restaurant B Data Sample size Probability of an event of interest 0.875 Parameters Mean 2.625 Variance 0.3281 Standard Deviation 0.5728 Binomial Probabilities Table X P(X) P(X) P[<X) P(X) P(2X) 0 0.0020 00020 0.0000 0.9980 1.0000 1 0.0410 430 0.0020 0.9570 0.9980 2 0.2871 0.3301 0.0430 0.6699 0.9570 3 0.6699 1.0000 0.3301 0.0000 0.6699 Probability of Correct Order at Restaurant C Probability of Correct...
Exercise: Let Yİ,Y2, ,, be a random sample from a Gamma distribution with parameters and β. Assume α > 0 is known. a. Find the Maximum Likelihood Estimator for β. b. Show that the MLE is consistent for β. c. Find a sufficient statistic for β. d. Find a minimum variance unbiased estimator of β. e. Find a uniformly most powerful test for HO : β-2 vs. HA : β > 2. (Assume P(Type!Error)- 0.05, n 10 and a -...
Suppose that you and two friends go to a restaurant which last month filled approximately 89.2% of the orders correctly. a. What is the probability that all three orders will be filled correctly? b. What is the probability that none of the three orders will be filled correctly? c. What is the probability that at least two of the three orders will be filled correctly? d. What are the mean and standard deviation of the binomial distribution used in a...
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone, 50% an Android smartphone and 5% some other type of phone. Let X= the number of students in a simple random sample of 15 students who own an iPhone. A. What is the probability distribution of X? Note: If this is a well-known distribution it is sufficient to name the distribution and identify the value of the parameters. B. Find the probability that 8...
Question 15 It is estimated that 45% of households own a riding lawn mower. A sample of 12 households is studied. What is the mean and variance of the number of households who own a riding mower? [2 MARKS] Mean-0.45, Variance-2.97 Mean-5.4. Variance=2.97 Mean=2.97, Variance-1.7234 Mean= 5.4. Variance-1.7234
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answer all the questions, I will give u a thumb! 1.3 A portfolio consists of 10 shares of stock A and 8 shares of stock B. The price of A has a mean of 10 and variance of 16, while the price of B has a mean of 12 and a variance of 9 The correlation between prices is 0.3. What are the mean and variance of the portfolio value? 2.1 2.1.a State the definition of the sampling distribution of...
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone, 50% an Android smartphone and 5% some other type of phone. Let X=the number of students in a simple random sample of 15 students who own an iPhone. A. What is the probability distribution of X? Note: If this is a well-known distribution it is sufficient to name the distribution and identify the value of the parameters B. Find the probability that 8 students...