The amount of time spouses shop for an anniversery cards can be modeled by an exponential distribution with the average amount of time equal to six minutes. Write the probability density function.

George is a big fan of music from the 1960s, and 22% of the songs on his iPod are Beatles songs. Suppose George sets his iPod to  "shuffle," so that it selects songs randomly (assume the shuffle function permits repetition of songs). During a long drive, George plays 50 randomly selected songs. Calculate the probability that more than 30% of the 50 randomly selected songs are Beatles songs. Round your answer to four decimal places.

Consider the probability that exactly 89 out of 149 students will pass their college placement exams. Assume the probability that a given student will pass their college placement exam is 61 % . Approximate the probability using the normal distribution. Round your answer to four decimal places.

Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.

File Edit View History O Part: 0/2 Insurance: An insurance company sells a 1-year term life insurance policy to an 81-year-old man. The man pays a premium of $3900. If he dies within 1 year, the company will pay $62,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 81-year-old man will be alive 1 year later is 0.9381. Let X be the profit made by the insurance company. Part 1 of 2 (a) Find the probability distribution. The probability distribution is x P(x) Skip Part Bookmarks Window 308 10 3900 Check Answer Help 80 www-awu.connectmath.com Q ! al K ✪ Save For Later E₂ 2 Submit Assignment © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center A m olo D 1 o

Snapchat has more than 200 million daily users sending over 3 billion snaps a day. Suppose that: The time X between snaps you received is governed by: Exponential distribution, u = 8 minutes

Plot the appraisal price in dollars that can be paid for combined lease bonus and speculative drilling cost using the following risk: 1,5, and 10 %. The prospect is a 80- acre tract, pay thickness is 100 ft. The probability of dry hole is set at 50%. If the well is successful, recovery in bbls per acre-ft may be as low as 100 to as high as 200, with most probable recovery being 150 bbl/acre-ft. Operating profit may be taken as $ 3 per barrel. Completion costs for a successful well will exceed the cost of a dry well by $40,000. Assume the exploration budget is 0, 3, 6 and 10 MM dollars

For each value of z*, find the cumulative probability P(Z s z*). (Round your answers to four decimal places.) AUSE SALT (a) z* = 1.96 (b) z* =-2.33 (c) z* = 2.58 (d) z* = 1.65

Please show/explain method if using excel

In a probability density function such as a Normal or bell-shaped curve, the area under the curve is used to make predictions about likelihoods and probabilities. What is the area (use a proportion) under the curve from the lowest possible value to the highest possible value?