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Using the poisson
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- Using Z Table. Calculate the probability that: Z is less than 1.50 Z is greater than 1.90 Z is between 1.48 and 1.90 Z is between -1.48 and 1.48Activity 1: Solve It Directions: Solve each problem involving discrete probability distribution. 1. A baker is deciding how many batches of cupcakes to make to seil in her bakery. Through observation, the baker has established a probability distribution. 3 4 2. 0.35 1. P(x) 0.20 0.25 0.20 a. What is the probability that the baker will sell more than one batch? b. What is the probability that the baker will sell exactly one batch? c. Find the probability that the baker will sell at least two batches. 2. Below is a probability distribution for the number of students with high honors. 2. 3 4 P(X) 0.20 0.35 0.25 0.10 0.10 a. Find P(x 3). Find P(x <3). c. Find P(x 2 1). 2022.02.18 11:27I need help with this please
- See added imagePRACTICE ANOTHER Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 225 numbers from this file and r = 85 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. What is the value of the sample test statistic? (Round your answer to two decimal places.) ANSWER IS NOT 2.57 Find the P-value of the test statistic. (Round your answer to four decimal places.) ANSWER IS NOT 0.0102Lesson 10 Q7 Calculate the expected value from the following probability distribution.
- 1 A) Complete the Probability Distribution Table below for an imaginary lottery. (No need to calculate values, just remember your probabilities must ADD to 1. You should be able to complete that statement.) Prize Probability (X x) B) Use the table you created to determine the amount of money someone expects to win when they purchase a lottery ticket.Directions: During a certain part of the day, the time between arrivals of automobiles at the tollgate on a turnpike is an exponential random variable with expected value 30 seconds. 1. Find the probability that the time between successive arrivals is more than 70 seconds. Probability = 2. Find the probability that the time between successive arrivals is greater than 10 seconds and less than 50 seconds. Probability =The amount of time, T, that the effect of caffeine is felt on your body after drinking a cup of coffee is given by a continuous random variable with an exponential distribution. On average, caffeine is felt for about 5 hours after drinking the cup. (Answer part a-c) a. What is the probability that the effect lasts at least 4 hours? b. What is the probability that the effect lasts fewer than 6 hours? c. You usually go to sleep at 11:30 pm, and drink exactly one cup of coffee a day. Suppose you wish to guarantee at most a 5% chance of feeling the effects of caffeine when you go to sleep. What's the latest that you should drink your only cup of coffee?
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