A trial experiment has only three outcomes 0,1,2.The occurence probability of 0 is 0.6 and the occurence probability of 1 is 0.3 in 6 independent trials, the probability that 1 and 2 both occur atleast once is...
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A trial experiment has only three outcomes 0,1,2.The occurence
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- During an episode of tonight show, a talk show host related "The birthday problem " to the audience noting that in a group of 50 or more people, probablists have calculated that the probability of atleast 2 people having the same birthday is very high. To illustrate this point he proceeded to conduct his own experiment. A person selected at random from the audience was asked to state his birthday. The host then adked whether anyone in the audience had the same birthday. The response was negative. He repeated the experiment. Once again the response was negative. These results observed the host,were contrary to expectations. In a later episode of the show, the host explained why the experiment had been improperly conducted. Explain why the host failed to illustrate the point he was trying to make in the earlier episodeFor the situation described below, state the null hypothesis, Ho, and the alternative hypothesis, H, to be tested. (Enter != for # as needed.) A statistical test is designed to show that the proportionp of defectives has decreased below 0.6%. Ho: 0.6 H: 0.6From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
- Could you please solve only this question: In the case of a guarantee probability of 95% to estimate the average monthly advertising income in the bulk. Thank you,4. If a randomly chosen athlete tests negative, what’s the probability that the student took a banned substance? Explain why it makes sense for the drug-testing process to be designed so that this probability is less than the one you found in Question 3.5. The district decides to immediately retest any athlete who tests positive. Assume that the results of an athlete’s two tests are independent. Find the probability that a student who gets a positive result on both tests actually took a banned substance. Based on your answer, do you think that an athlete who tests positive twice should be suspended from athletic competition for a year? Why or why not?You currently work for the DARPA, the Defense Advanced Research Projects Agency. You've received reports of some strange things occurring in the small town of Hawkins, Indiana. Let U be a random variable equal to 1 if the citizen has been to the Upside Down and 0 otherwise. Let S be a random variable equal to 1 if a citizen reports being in the presence of a group of misfit kids who claim to be "saving the town" and 0 otherwise The table below shows the joint probability density function for the galactic population Share of Population 0.15 0.32 0.50 0.03 U 0 0 1 1 S 1 0 1 0 Round to 2 decimal places where necessary, unless otherwise stated. Leave your answer in decimals, rather than convert to percentages. A. Evaluate Fu,s (1,0): B. Calculate the share of people who have been to the Upside Down in the population. That is, E(U): C. Calculate the probability of having gone to the Upside Down conditional on meeting this band of misfit kids?. That is, Fus (11):
- From observations of the weather, it is known that on October 20 the probability of rain is 0.25. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?A gambler simulates a new card game on a computer. Out of 500 trials he wins 200 times. So he calculates P(winning) = 200/500 = 0.40. Why is this only an estimate of the true value of P(winning)? A. There are more than 2 events B. The outcomes are not equally likely C. His estimate is not rounded to 3 decimal places D. If he were to do a different set of 500 trials, he might win 180 times and calculate a different value of P(winning)One control is beyond +2 s from the mean. How frequently would this occur on the basis of chance alone? why the correct answer is B ..please explain with pictures and explnation A. 1:100 B. 5:100 C. 1:400 D. 1:1600
- Anita's, a fast-food chain specializing in hot dogs and garlic fries, can monitor how many customers at its restaurants want to eat (in addition to ordering takeout) to decide whether or not to build a location to play in the city. . Including the presence of Sammy the mascot in local locations, stores and franchises, Anita reports that 45% of her customers order food for delivery. If this ratio is true, what is the probability that a random sample of 3 of Anita's 4 customers will order food? Round your response to at least three decimal places. (If necessary, consult a list of formulas.)Q5. It was found that a New Brunswick family doctor has on average 14 patients calling in for anappointment they say they need to have on that very day during a standard 10 hour work day.Using the tables(a) What is the probability that a New Brunswick family doctor has more than 20 patientscalling in for an appointment they say they need to have on that very day during a standard10 hour work day?(b) What is the probability that a New Brunswick family doctor has more than 2 patientscalling in for an appointment they say they need to have on that very day during the nexthour?(c) What is the probability that a New Brunswick family doctor has 7 or less 20 patientscalling in for an appointment they say they need to have on that very day during the next3 hours?(d) For this situation, determine the probabilities of being within 1, 2 an d 3 standard deviations for the mean and compare these results to the empirical rule
