2. Suppose an individual plays a gambling game where it is possible to lose $1.00, break even, win $3.00, or win $5.00 each time she plays. Complete the Statement: In the long run, the player can expect to Blank 1 (win or lose?) Blank 2 (Express your answer in two decimal places. Do not include the currency symbol for your answers) for playing the game.
3. Scholarship Committee Chairman in a certain University plans to give scholarships to the top 12% incoming college freshmen in entrance test. The distribution of scores is known to be normal, with a mean of 120.25 points and a standard deviation of 9.6 points. What should be the lowest score of a student to qualify for the scholarship?Express your answer to the nearest whole number.
4. A radar unit is used to measure the speed of cars at NLEX. NLEX records show that the measures of speed are normally distributed with a mean of 95 km/hr and a standard deviation of 14 km/hr. The probability that a car picked at random is travelling between 75 and 135 km/hr is Blank 1.Round of answers in four (4) decimal places (decimal form).
A radar unit is used to measure the speed of cars at NLEX. NLEX records show that the measures of speed are normally distributed with a mean of 95 km/hr and a standard deviation of 14 km/hr. The probability that a car picked at random is travelling between 75 and 135 km/hr is Blank 1.Round of answers in four (4) decimal places (decimal form).
5.
Mr. Dela Cruz can take either two roads to the airport from his home (Road A or Road B). Owing to varying traffic conditions that travel times on two roads are not fixed, rather on a Friday around noon that travel times across these roads can be approximated per normal distribution as follows:
Road A:μ = 54 minutes andσ = 5 minutes.
Road B:μ = 57 minutes andσ = 10 minutes.
Which road should he choose if on Friday noon he must be at the airport within 50 minutes to pick up his wife?
6. In a data gathered by a UST-SHS Health Allied student, it was determined that blood pressure readings of all UST-SHS Faculty Members are normally distributed withμ = 120 andσ = 8. If a blood pressure reading of 145 or more may require medical attention, whatpercentage of people have a blood pressure reading greater than 145?
7. Vice Ganda plans to invest 100,000 pesos for a movie block screening for a cause. He expects to sell tickets worth 150,000 pesos. But if the typhoon hits on the day of the screening, they cannot sell any tickets. If the weather forecast tells that there is a 20% possibility that there will a typhoon on the screening day, how much will he expect to gain/lose in return?Note: Express your answer in the nearest whole number. Also, do not include the currency symbol for your answers.
8. A radar unit is used to measure the speed of cars at NLEX. NLEX records show that the measures of speed are normally distributed with a mean of 94 km/hr and a standard deviation of 12 km/hr. The speed of the top 15% drivers are considered over speeding and are apprehended. Therefore, for a driver of the car to be charged of over speeding, his speed should be a minimum of Blank 1 km/hr.Round off your answer to two (2) decimal places.
Answer the following: If there is a 60% chance of the pop-up restaurant opening, and you decide always to park in front of the pop-up restaurant, will you expect to spend more or less in comparison to when you park in any other street parking in the long run? Answer: Blank 1 (more or less)How much is the difference of parking fee on the average?
11. A certain fast-food chain sells cheeseburger. On a typical weekday, the demand for these burgers can be approximated by a normal distribution with the mean of 313 burgers and a standard deviation of 57 burgers. If the fast-food chain has a stock of 400 burgers, what is the probability that it will run out of burgers on that day?Express your answer in percentage, rounded-off into 2 decimal places.
12. A certain fast-food chain sells cheeseburger. On a typical weekday, the demand for these burgers can be approximated by a normal distribution with the mean of 313 burgers and a standard deviation of 57 burgers. How many burgers must the restaurant stock to be at least 98% sure of not running out on a given day? Round-up your answer into a whole number.
13. Assume that the salaries of pre-school teachers in the Philippines are normally distributed with a mean of 28,000 php and a standard deviation of 3000. What is the cutoff salary for teachers in the bottom 10%?
14. An employee commutes daily from his home to work. The average time for a one-way trip is 24 minutes, with a standard deviation of 4 minutes. Assume the distribution of trip times to be normally distributed. If his work starts at 8:00 A.M. and he leaves his house at 7:30 A.M., based on the data what percentage will he be most likely on time for work?Express your answer in percentage, having two (2) decimal places. Also, do not include the percentage symbol (%) for your answers.