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- A partition divides the sample space into mutually exclusive events. True or FalseLet the sample space be S= {1,2,3,4,5,6,7,8,9,10}. suppose the outcomes are equally likely. Compute the probability of the event E= “an odd number less than seven” P(E)=_Q1) Below find the records of 12 randomly selected used pickup trucks (none used commercially) and 11 randomly selected used passenger cars, the time (in years) that they were kept by the original owner before being sold: Used pickup trucks | 3 | 2.5 2.9 5 4.2 3.1 3.3 4 5.3 3.8 4.5 Used passenger cars | 2.2 3 2.8 4.3 4 3.3 2.9 2.1 2 3.1 3 It is known that the standard deviation of used pickup trucks is 2 years and of used passenger cars is 1 year. (a) Investigate, at the 5% significant level, whether the mean time (in years) that used pickup trucks were kept by the original owner before sold is larger than used passenger cars. (b) What assumption is needed to perform the test in (a). (c) Construct the 96% confidence interval for the mean difference of time (in years) were kept by the original owner before sold between used passenger cars and used pickup trucks. Use this confidence interval to tell whether there is difference in the mean time (in years) between these 2 tynes of…
- Suppose that A and B are denote as event 1 and event 2 respectively and S denote as Sample Space, give explanation in the scenario below; What do you mean by “The union of the two events A and B, denoted by the symbol A U B” Explain.Let the sample space be S = {f, h, c). How many events are there? Additional Materials eBook3
- A spinner marked off in three equal-size regions, numbered 1 through 3, is spun three times. Let event E be that the outcome of at least one spin is 2 and event F be that the sum of the three outcomes is 7. a) Write the sample space, S. Use ordered triples such as (1, 3, 2). b) Find P(E) and P(E'). c) Find P(F) and P(F'). d) Find P(E U F).The sales of a coffee shop in a commercial district is very difficult to predict. The total revenue of the shop can be very good one day and bad the other day. The revenue can be classified into three different categories as High, Medium or Low a) Explain how we can see the revenue of the coffee shop as a "Random Experiment" b) Write down the sample space of this random experiment. c) Write down the event that revenue is high or medium using set notation. Write down a new event that is disjoint (mutually excusive) to the previous event. d) What would be the appropriate observation points (epochs) of the revenue? Explain.An experiment is performed where a 3-color spinner is spun and then a 4-sided die is rolled. The possible outcomes for each event are red (R), blue (B), and yellow (Y) for the 3-color spinner and 1, 2, 3, and 4 for the 4-sided die. Identify the sample space for this experiment.
- An experiment consists of randomly obtaiming five numbers without replacement from the equiprobable sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Find, with clear explanation, the probability that each number chosen is larger than the previous one.If a person rolls a six-sided die and then draws a playing card and checks its color, describe the sample space of possible outcomes using 1, 2, 3, 4, 5, 6 for the die outcomes and B, R for the card outcomes. S = { } A survey of 500 randomly selected high school students determined that 480 play organized sports. What is the probability that a randomly selected high school student plays organized sports? P(plays organized sports) =