Tossing Coins A coin is tossed 5 times. Find the probability of getting exactly three(3) heads. 1. Write all possible outcomes(x) in table form and its probability - P(x). 2. Construct the probability distribution. 3. Compute for the mean, variance and SD
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- CLT for Proportions The proportion of taxpayers who file within 45 days of the tax season is 36.4%. 1. What is the proportion of taxpayers that file after 45 days? 2. If you randomly select 60 taxpayers, what is the probability that at least 40% file within 45 days? 3. If you randomly select 115 taxpayers, what is the probability that at most 35% file within 45 days? 4. If you randomly select 140 taxpayers, what is the probability that between 36% and 39% file within 45 days? 5. Describe this distribution (sample proportion) in statistical notation when n=90need hekp with this, please!Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. 7 1 3 1 P(X = x) 8 8
- Suppose the number of rides that a visitor enjoys at Disney Find the mean number of rides for a Disney World visitor. World during a day is a random variable with the (Use decimal notation. Give your answer to two probability distribution given in the table. decimal places.) 5 6 7 8 9 10 11 12 p(x)0.040.07 0.09 0.120.200.300.130.05← Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. child(ren) (Round to one decimal place as needed.) X 0 1 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, the random variable x's number values are not associated with probabilities. OA. O= child(ren) (Round to one decimal place as needed.) OB. The table does not show a probability distribution. 2 3 4 5 D. No, the sum of all the probabilities is not equal to 1. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random…5. (Solve using pen and paper) Cans of salmon are supposed to have a net weight of 6 oz. The canner says that the net weight is a random variable with mean m=6.05 oz. and stand. dev. s=.18 oz. Suppose you take a random sample of 36 cans and calculate the sample mean weight to be 5.97 oz. a. Find the probability that the mean weight of the sample is less than or equal to 5.97 oz.
- Paragraph Styles Editing Identify the proper distribution to use and then use it to find the indicated probability. Could this event be termed "unusual." Identify variable and function When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless with corresponding probabilities: 0.37,0.42, 0.11, and 0.10. Ten plants are selected. Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless. Distribution type: Probability: D.Focus WI 曲The accompanying table lists the outcomes and the probability distribution for a student renting videos during the week while on campus. Video Rentals per Week during Semester Outcome (number of O weekly video rentals) Probability distribution Outcome 0 (number of weekly video rentals) Probability distribution 1 0 69.81 2 Write the cumulative probability distribution in the table below. Use two decimal places. 3 1.81 4 0.05 0.55 0.25 0.05 0.07 0.02 0.01 Hint: Write your answers in two decimal places. 5 8 The probability of renting between two and four videos a week is 126.95 60 57.14 5 25 600 and the probability of renting less than three a week isDetermine whether the distribution represents a probability distribution. X 5 6 7 8 PX 0.4 0.9 0.7 0.4 The distribution ▼(Choose one) a probability distribution. The sum of the probabilities of the events ▼(Choose one) one.