Design an experiment, involving just a single coin (no dice or anything else!), which has exactly six possible outcomes. (a) Describe the experiment clearly and write down the sample space, explaining your notation. (b) Identify one simple event and one other event for your experiment. State them in words and then express them as sets.
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Consider an experiment, involving just a single coin, which has exactly six possible outcomes.
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- A nutritionist claims that children 13 to 15 years old are consuming less than the recommended iron intake of 20.5 mg. To test the nutritionist's claim of iron deficiency, a random sample of children 13 to 15 years old will be obtained. Assume that the data for iron intake follows the normal distribution with a standard deviation of 4.75 mg. Find the size of the sample that you should take if you want to estimate the true mean iron intake to within 1 mg with 99% confidence. 62 149 O 150 O 61the coin, then spin the spinner. a. List the 10 outcomes in the sample space. The first one has been done for you. Coin Flip Heads Heads Tarlss Heads Heads Taids Heads Tails Taits Heads Spin 1 e. 2 5 1 3 5 2 4 3 1 Let A = the coin comes up heads. b. Find P (A) C. Does the coin flip affect the spinner? d. Multiply P (A) by P (B). events. f. Does P(An B) = P(A) * P(B)? If so, this is evidence that A & B are NOT independent. 2 sides, H & T no Let B = the spinner lands on an odd number c. Find P (B) 5 sections numbered 1-5 YERT Therefore, we say that events A & B are Look at the sample space and find P (A and B). This means the same thing as P(An B). If not, then we know that the two events are Event 2: Spin the spinner 3 times in a row. a. Find the probability that you get these three spins: 2, 2, 2. b. Find the probability that you get NO 2s in the three spins. c. Find the probability that you get "at least one 2" in your three spins. d. Changing the event slightly here...what is the…In rolling a dice 300 times we get 57 ones, 62 twos, 48 threes, 47 fours, 53 fives and 33 sixes. We wish to determine whether the dice is fair. What is the test statistic value for the goodness-of-fit test in this case?
- Direction: 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.Help me please2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
- Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes. A man is shopping for a new patio umbrella. There is a 7-foot and a 12-foot model, and each is available in black, forest green, and rust. (a) He buys a 12-foot forest green umbrella. (b) He buys a 7-foot umbrella. (c) He buys a black-colored umbrella. (a) He buys a 12-foot forest green umbrella. The probability is. (Type a simplified fraction.)the sample space listing the eight sample events that are possible when a couple has a 3 children is?Suppose you are the president of the student government. You wish to conduct a survey to determine the student body's opinion regarding student services. The administration provides you with a list of the names and phone numbers of the 775 registered students. (a) Discuss a procedure you could follow to obtain a simple random sample of 5 students. (b) Obtain this sample. Click the icon to view the portion of the random number table. (a) Which of the following procedures could you follow to obtain a simple random sample of 5 students? Select all that apply. A. List the names in alphabetical order and take the first five names on the list. B. List each name on a separate piece of paper; place them all in a hat, and pick five. C. Ask the students to come to a meeting and pick five from those who come to the meeting. D. Number the names from 1 to 775 and use a random number table to produce 5 different three-digit numbers corresponding to the names selected. *** C (b) Obtain this sample…