Reference no: EM13282307
1. A popular resort hotel has 300 rooms and is usually fully booked. About 4% of the time a reservation is canceled before 6:00 p.m. deadline with no penalty. What is the probability that at least 280 rooms will be occupied? Use binomial distribution to find the exact value and the normal approximation to the binomial and compare your answers.
2. The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here.
NUMBER 0 1 2 3 4 5 6 7 8
Frequency 5 16 19 13 3 5 4 2 1
a) Find the probabilities of 0-8 hurricanes each season using data.
b) Assuming a Poisson distribution and using the mean number of hurricanes per season from the empirical data, compute the probabilities of experiencing 0-8 hurricanes in a season. Compare these to your answer to part (a). How good does a Poisson distribution model this phenomenon?
3. The distribution of SAT scores in math for an incoming class of business students has a mean of 580 and standard deviation of 25. Assume that the scores are normally distributed.
a) Find the probability that an individual's score is less than 550.
b) Find the probability that an individual's score is between 560 and 600.
c) Find the probability that an individual's score is greater than 620.
d) What % of students will have scored better than 700?
e) Find the standardized values for students scoring 500, 600, 700 on the test.
4. Historical data show that customers who download music from a popular web service spend approximately $20 per month, with a standard deviation of $4. Find the probability that a customer will spend at least $15 per month. If the company samples 100 customers, find the mean and standard deviation of the number who spend at least $15 per month. What is the probability that at least 40% of them will spend a t least $15 per month?
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Explain what is the minimum quantity of atmospheric oxygen
: What is the minimum quantity (in grams) of atmospheric oxygen required to completely convert 3.77 moles of ethanol into carbon dioxide and water
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Find the relation between the values of q1 and q2
: Two pointcharges, Q1 and Q2,are located at (1,2,0) and (2,0,0) respectively. Find the relation between the valuesofQ1 and Q2 suchthat the total force on a test charge atpoint P = (-1, 1, 0) has (a)no x-component, or (b)no y-component.
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Define the molar enthalpy of combustion for the compound
: A 0.2254 g sample of naphthalene (C8H10, 128.16 g/mol) was burned in a bomb calorimeter with a heat capacity of 2.18 kJ/K, and the temperature increased by 4.16°C. What is the molar enthalpy of combustion for this compound
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How to apply gauss law to find d in all regions
: An infinitely long shell with a cylinder shape extends between r = 1m and r =3m has a uniform charge density ρ. Apply gauss's law to find D in all regions.
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Find the mean and standard deviation
: Find the mean and standard deviation of the number who spend at least $15 per month. What is the probability that at least 40% of them will spend a t least $15 per month?
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Write the molecular and ionic equations
: Write the molecular, ionic, and net ionic equations for the combination of KNO3(aq) and BaCl2(aq)
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Explain diluted bleach and of the original bleach solution
: what is molarity of the diluted bleach and of the original bleach solution? b. what is the mass of sodium hypochlorite per 100 mL of the stock bleach solution. c. If the density of the bleach solution is 1.05 g/mL, what is the percent of bleach by..
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Through what potential difference did the charge move
: A uniform electric field of magnitude 256 V/m is directed in the negative y direction. Through what potential difference did the charge move
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Explain what is the reducing agent in the reaction
: The sodium hypochlorite reacts with hydrochloric acid producing chlorine gas. What is the reducing agent in this reaction
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