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Case: Katie is taking an exam which consists of 10 true/false questions. Given her excellent performance in the past, the chance of getting the first five questions are 90%, but the others are 70%. All the questions are not related to each other. Calculate the probability that Katie gets no answers correct.
Although there are two different probabilities, which doesn’t look feasible, but we can apply two different binomial distributions for first five and the rest.
Case: James failed to study for the next stat exam. James’ exam strategy is to rely on luck for the next quiz. The quiz consists of 10 multiple-choice questions. Each question has five possible answers, only one of which is correct. All the questions are not related to each other. James plans to guess the answer to each question. Calculate the probability that James gets no answers correct.
Case: A supermarket sells eggs in packets of six. Their transport system from the farm to the shop is not very good, so some of the eggs get damaged on the way. If an egg gets damaged with probability p. Calculate the probability that only two eggs are damaged in a packet.
Case: A business owner decides to use a binomial distribution to solve one of his problems. He knows there is a 60 percent probability that he will sell one of his Red Oak floors to any customer who comes into his shop and views the wood. Out of the next 7 people who come into his shop, what is the probability that 3 people will buy a Red Oak floor?
Which probability distribution has the same mode and mean?
Which of the following characterizes a continuous random variable for which all outcomes between some minimum and maximum value are equally likely?
Any normally distributed values can be standardized with z-scores.
A shipment of grapefruit arrived containing the following proportions of types: 10% pink seedless, 20% white seedless, 30% pink with seeds, and 40% white with seeds.
A grapefruit is selected at random from the shipment. Find the probability of these events:
➢ It is seedless.
➢ It is white.
➢ It is pink and seedless.
➢ It is pink or seedless.
➢ It is pink, given that it is seedless.
➢ It is seedless, given that it is pink
P(sl) = 0.3
P(w) = 0.6
P(pnsl) = 0.1
P(pusl) = 0.6
P(p|sl) = 0.33
P(sl|p) = 0.25
• Box 1 contains two red balls and three green balls, and Box 2 contains four red balls and one green ball.
• One ball is randomly selected from Box 1 and placed in Box 2.
• Then one ball is randomly selected from Box 2. ➢ What is the probability that the ball selected from Box 2 is green?
0.267
• Professor French forgets to set his alarm with a probability of 0.3.
• If he sets the alarm, it rings with a probability of 0.8.
• If the alarm rings, it wakes him on time to make his first class with a probability of 0.9.
• If the alarm does not ring, he wakes in time for his first class with a probability of 0.2.
➢ What is the probability that Professor French will wake in time to make his first class tomorrow?
0.592
Does a high correlation imply there is a causality between two variables?
Which does not describe correlation accurately?
Which statement is true?
What is the error(=residual)?
Y = 40
Yhat= 20
Which one best describes the equation above?
Cost = 25.2 - 4.4 Capacity
Predict the price for a house with 2000 square feet.
house price (1000$) = 98.24833 + '.10977square feet
Regression can explain all the variations in data?
Given for a SST, which model do you prefer in regression modelling?
If you calculate SSR / SST, would it fairly explain how much a model can explain the data?
Which describes correlation and r2 the best?
Which one is a graph showing the number of observations in each class of a frequency distribution?
Which one is a graph showing the relationship between a pair of variables?
Toss a coin once. You will get one million and one pounds if you get a head, or you will lose one million pounds if you get a tail.
Calculate E(x)
Which of the following best describes the variance?
Which of the following best describes the following in the order of (a), (b) and (c) and the skewness?
Which one has higher kurtosis?
Guess the correlation of the following?
Non-linear relation
Which one describes the correlation correctly?
Which one is the valid interpretation?
p=0.71
Is the correlation the same as the slope?
The area under the curve of any probability distribution is always equal to 1.
Roll a coin. You will get one pound if you get face. Otherwise, you will lose one pound. What type of variable is the payoff?
The table below shows the number of televisions per household (X) from UK survey data. Is the number of televisions a discrete variable?
The probability distribution of today’s temperature
The total rainfall of the last year in the UK
The probability distribution of whether it rains or not in Bath tomorrow at 3pm.
In continuous distributions, the probability that x equals to a certain value is ____.
In continuous distributions, the probability that x is less than or equal to a value is the same as the probability that x is less than that value.
Suppose the temperature of a solution varies with a uniform distribution between 55 and 155 degrees. What is the probability that the next measured temperature is between 70 and 90 degrees?3
Which of the following is true of normal distributions?
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- 1 / 44
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Cartes-fiches
Regression can explain all the variations in data?
Given for a SST, which model do you prefer in regression modelling?
If you calculate SSR / SST, would it fairly explain how much a model can explain the data?
Which describes correlation and r2 the best?
