Question

A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. Round your answer to four decimal places, if necessary.

282

likes
1410 views

Answer to a math question A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. Round your answer to four decimal places, if necessary.

Expert avatar
Sigrid
4.5
68 Answers
To find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m., we need to determine the length of the interval between 8:05 a.m. and 8:40 a.m. out of the total length of the interval between 8:00 a.m. and 8:50 a.m.

The length of the interval between 8:00 a.m. and 8:50 a.m. is 50 minutes (8:50 a.m. - 8:00 a.m. = 50 minutes).

The length of the interval between 8:05 a.m. and 8:40 a.m. is 35 minutes (8:40 a.m. - 8:05 a.m. = 35 minutes).

To determine the probability, we divide the length of the interval between 8:05 a.m. and 8:40 a.m. by the length of the interval between 8:00 a.m. and 8:50 a.m.:

$$\text{Probability} = \frac{\text{Length of interval between 8:05 a.m. and 8:40 a.m.}}{\text{Length of interval between 8:00 a.m. and 8:50 a.m.}}$$

$$\text{Probability} = \frac{35}{50}$$

Simplifying,

$$\text{Probability} = 0.7$$

Answer: The probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. is 0.7.

Frequently asked questions (FAQs)
What is the length of the altitude of a right triangle with a hypotenuse of 10cm?
+
What is the slope-intercept form of a line passing through point (3, 5) with a slope of -2?
+
What is the sine value of angle A in a trigonometric table if A = 45°?
+
New questions in Mathematics
Let f(x)=||x|−6|+|15−|x|| . Then f(6)+f(15) is equal to:
Solution of the equation y'' - y' -6y = 0
Simplify the expression sin³(x)+cos³(x), using trigonometric functions
Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?
what is 3% of 105?
5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?
The length and breadth of my rectangular vegetable garden is 12,5m and 7,25m respectively. What is the perimeter of the garden?
The mean temperature for july in H-town 73 degrees fahrenheit. Assuming that the distribution of temperature is normal what would the standart deviation have to be if 5% of the days in july have a temperature of at least 87 degrees?
Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?
4x + 8y = 5 2x + 4y = 10
Log5 625
sin 30
reduce the expression (7.5x 12)÷0.3
P(Z<z)=0.1003
A teacher has 25 red and yellow counters altogether. She has 4 times as many red counters than yellow counters. How many yellow counters does the teacher have?
List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers that satisfy equation x = 5 (mod 6)
effectiveness of fiscal and monetary policy under closed and open economies
Solve the following system of equations using substitution. y=-4x- 11. 3x+7y=-2
Find the symmetric point to a point P = (2,-7,10) with respect to a plane containing a point Po = (3, 2, 2) and perpendicular to a vector u = [1, -3, 2].
An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?