Question

In: Statistics and Probability

(a) The rent prices for a studio apartment in Dublin follows a normal distribution with mean...

(a) The rent prices for a studio apartment in Dublin follows a normal distribution with mean 1315€ and standard deviation 147€. A postdoctoral researcher working at Trinity is looking for a studio apartment. Compute the probability that he finds one within the price range 900€ - 1200€. (correct to 3 decimal places rounded down).

(b) consider again rent prices in Dublin. Find the value x for the price of a studio apartment such that the probability of paying less of x is 0.95. (correct to 3 decimal places rounded down.

Solutions

Expert Solution


Related Solutions

Assume the distribution of home selling prices follows a normal distribution. for this area the mean...
Assume the distribution of home selling prices follows a normal distribution. for this area the mean selling price is $95,140 and the standard deviation of the selling price is $13,100. Let S be the home selling price. For a randomly selected home find P(S>$100,000). The answer is approx. = .6447. I just really need to know how to set this question up in a TI-84 calculator PLEASE! It's urgent!
Monthly rent at an apartment complex is $500. Operating costs follow a normal distribution with a...
Monthly rent at an apartment complex is $500. Operating costs follow a normal distribution with a mean of $15000 and a standard deviation of $300 (minimum of 0). The number of apartments rented follow a triangular distribution with a minimum of 30, most likely 34, and a maximum of 40. Run the simulation and report the descriptive statistics for the profit of the complex (mean, etc.). Also, report percentile information on the level of profit. Finally, you are concerned that...
The diameter of a cylinder follows a normal distribution with the mean of 10cm and the...
The diameter of a cylinder follows a normal distribution with the mean of 10cm and the variance of 0.04 cm^2. a) Construct a Shewhart chart to monitor the process mean of cylinder diameter with a sample size 9? (Use L=3) b) If the mean of the process changes to 10.5 cm, what is the probability that you detect this mean shift at the immediate next sample (the first sample after the mean shift)? c) Continue b), what is the probability...
The grade of statistics follows a normal distribution with a mean of 85 and a standard...
The grade of statistics follows a normal distribution with a mean of 85 and a standard deviation of 10. The instructor adopted a new teaching method this year, and would like to investigate whether there is an improvement in students’ average grade. Suppose the average grade from a sample of 36 students is 88, can we conclude that there is an improvement at the 5% significance level? A. Specify the null and alternative hypotheses. B. Determine the rejection region. C....
The height of females in the United States follows a normal distribution with a mean of...
The height of females in the United States follows a normal distribution with a mean of 65 inches and a standard deviation of 2 inches. What height marks the median?
Assume the length X of a certain unit follows the normal distribution with a mean of...
Assume the length X of a certain unit follows the normal distribution with a mean of 50mm and a standard deviation of 5 mm. If a random sample of 21 units is taken, find the value C such that Probability(sample variance > C) = 0.90
assuming the length X of a certain unit follows the normal distribution with a mean of...
assuming the length X of a certain unit follows the normal distribution with a mean of 50mm and a standard deviation of 5mm. if a random sample of 21units is taken, find the value C such that probability (sample variance > C)= 0.90
The random variable X follows a normal distribution with a mean of 10 and a standard...
The random variable X follows a normal distribution with a mean of 10 and a standard deviation of 3. 1. What is P(7≤X≤13)? Include 4 decimal places in your answer. 2. What is the value of k such that P(X>k)=0.43? Include 2 decimal places in your answer.
The weight of chihuahuas follows a Normal distribution with mean 10.4 pounds and with a standard...
The weight of chihuahuas follows a Normal distribution with mean 10.4 pounds and with a standard deviation of 2.1 pounds. A) What percent of the dogs weigh more than 12 pounds? B) What percent of the dogs weight between 9 and 12 pounds? C) 50% of the dogs weigh more than what weight? D) 75% of the dogs weight more than what weight?
The average MCAT score follows a Normal distribution, with a mean of μ = 508 and...
The average MCAT score follows a Normal distribution, with a mean of μ = 508 and a standard deviation of σ = 8. What is the probability that the mean IQ score of 100 randomly selected people will be more than 510?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT