A/The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 8 minutes. Find the probability that the time interval between two successive barges is less than 5 minutes.
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- For a standardized psychology examination intended for psychology majors, the historical a data show that scores have a mean of 520 and a standard deviation of 170. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 524. What is the probability that a sample of 35 exams will have a mean score of 524 or more if theexam scores follow the sane distribution as in the past? Carry computations to 4 decimal places, round your answer to 3.Suppose we want to test the hypothesis that mothers with low socioeconomic status (SES) deliver babies whose birth weights are different from normal. To test this hypothesis, a random sample of 100 birth weights is selected from a list of full-term babies of SES mothers. The mean birth weight is found to be 115 oz. Suppose the average birth weight of all babies (based on nationwide surveys of millions of deliveries) is known to be 120 oz with = 24 oz. Set = .05 Assume all conditions are met, what is the p-value of their test? Give your answer to 4 decimal places.Today, the waves are crashing onto the beach every 5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 2 seconds after the person arrives is P(x = 2) = The probability that the wave will crash onto the beach between 0.4 and 2.9 seconds after the person arrives is P(0.4 < x < 2.9) = The probability that it will take longer than 1.5 seconds for the wave to crash onto the beach after the person arrives is P(x > 1.5) = Suppose that the person has already been standing at the shoreline for 1.3 seconds without a wave crashing in. Find the probability that it will take between 2.7 and 4.8 seconds for the wave to crash onto the shoreline. 27% of the time a person will wait at least how long before the wave crashes in?…
- Today, the waves are crashing onto the beach every 6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 6 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 3.9 seconds after the person arrives is P(x = 3.9) =The length of life time of a pesticide spray is normally distributed with a mean life timeis 12 months and standard deviation is 6 months. If this kind of spray is guaranteed for 10 months, find the probability of the sale that requires replacement.The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.680.68.Part a)What is the probability that the time between consecutive customers is less than 15 seconds?Part b)Find the probability that the time between consecutive customers is between ten and fifteen seconds.Part c)Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
- Suppose that the probability that any stock increases in price (over a 3 month period of time) is 60%. What is the probability that in a sample of 145 stocks that you buy that less than 55% increase in price (over a 3 month period of time)? (please round your answer to 4 decimal places)Suppose that historically, 36% of applicants that are offered admittance to Texas Tech actually enroll, while the others take offers somewhere else. If Texas Tech will accept 9150 this coming year, what is the probability that less than 35.0064% will actually enroll? P(p^<0.350064)=Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…
- Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 48 minutes and standard deviation 23 minutes. A researcher observed 14 students who entered the library to study. Round all answers to 4 decimal places where possible. If one randomly selected student is timed, find the probability that this student's time will be between 42 and 50 minutes. For the 14 students, find the probability that their average time studying is between 42 and 50 minutes. Find the probability that the randomly selected 14 students will have a total study time less than 714 minutes.Q7) The length of time, in seconds, that a computer user takes to read his or her e- mail is distributed as lognormal random variable with μ = 1.8 and o² = 4. (a) (b) What is the probability that a user reads e-mail for more than 20 seconds? More than a minute? What is the probability that a user reads e-mail for a length of time that is equal to the mean of the underlying lognormal distribution?