The time an 8 week old baby smiles is uniformly distributed between 0 and 20 seconds, Find the probability that a baby will smile between 4 and 16 seconds.
a. 1/4
b. 1/5
c. 2/5
d. 3/5
e. 3/4
The time an 8 week old baby smiles is uniformly distributed between 0 and 20 seconds,...
Suppose your waiting time for a bus in the morning is uniformly distributed on [0,8], whereas waiting time in the evening is uniformly distributed on [0, 10] independentof morning waiting time.a. If you take the bus each morning and evening for a week, what is your totalexpected waiting time? [Hint: Define rv's ?1, … , ?10 and use a rule of expectedvalue.]b. What is the variance of your total waiting time?c. What are the expected value and variance of the...
1)The age of children in kindergarten on the first day of school is uniformly distributed between 4.93 and 5.84 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.23 and 5.53 years old is e....
8. A swimming pool is filled at a rate that is uniformly distributed between 20 and 26.3 gallons per minute. a. Draw a sketch that illustrates this particular situation. Please label all relevant information for this probability density function. (5 pts) b. What is the probability that the filling rate at any one time is between 21.3 and 24.6 gallons per minute? (6 pts) c. What is the median rate at which this swimming pool is filled? (4 pts) 8....
The driving time for an individual from his home to his work is uniformly distributed between 300 to 450 seconds. Determine the first line of the probability density function. a. (1 point) What is the probability that the driving time will be less than or equal to 435 b. seconds? (1 point) c. What is the expected driving time? (1 point) d. What is the variance for this distribution? (1 point) What is the standard deviation for this distribution? e....
Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 10] independent of morning waiting time. (a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) [Hint: Define rv's X1, X10 and use a rule of expected value.] min (b) What is the variance of...
Ex. 64Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 10] independent of morning waiting time.a. If you take the bus each morning and evening for a week, what is your total expected waiting time? [Hint: Define rv's ?1,…,?10 and use a rule of expected value.]b. What is the variance of your total waiting time?c. What are the expected value and variance...
Ex. 64Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 10] independent of morning waiting time.a. If you take the bus each morning and evening for a week, what is your total expected waiting time? [Hint: Define rv's ?1,…,?10 and use a rule of expected value.]b. What is the variance of your total waiting time?c. What are the expected value and variance...
Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 12] Independent of morning waiting time. (a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) (Hint: Define rv's X X and use a rule of expected value.] min (b) What is the variance of...
The age of children in kindergarten on the first day of school is uniformly distributed between 4.9 and 5.71 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.1 and 5.3 years old is e....
Suppose the time it takes a barber to complete a haircuts is uniformly distributed between 8 and 22 minutes, inclusive. Let X = the time, in minutes, it takes a barber to complete a haircut. Then X ~ U (8, 22). Find the probability that a randomly selected barber needs at least 14 minutes to complete the haircut, P(x > 14) (answer to 4 decimal places)