Statistics and Probability Answers

what is the probability that among 10 true hypertensives at least 50% are being treated appropriately are complying with this treatment?

a box contains 8 red,3 white and 9 blue balls if three balls are drawn without replacement determine the probability
a)all three are red
b)two are red and one is white
c)all three are white
d)at least one is white
e)one for each color is drawn

A radar unit is used to measure the speed of automobile on an expressway during rush-hour traffic. The speeds of individual automobiles are normally distributed with a standard deviation of 4 mph.

a. Find the mean of all speeds if 3% of the automobiles travel faster than 72 mph. Round the mean to the nearest tenth.

b. Using the mean you found in part a, find the probability that a car is traveling between 70 mph and 75 mph. Interpret the meaning of this answer.

c. Using the mean you found in part a, find the 25th percentile for the variable "speed".

a container has 8 blue balls, 6 red balls, and 4 green balls. If 3 balls are drawn, with replacement, what is the probability that all three will be green?

1) The yields of peach trees in an orchard have Normal distribution with mean 42.4 pounds and standard deviation 6.1 pounds.
a) Compute the Z-score for a tree yielding 35 pounds of peaches. Interpret this Z-score.
b) Suppose a tree has a Z-score of 1.85. Interpret this Z-score. What is the yield of this tree?
2) Consider all the trees in the peach orchard. The yield of these trees has mean 42.4 pounds with standard deviation 6.1 pounds. Suppose each tree’s yield is converted to a Z-score. For the data set of all Z-scores: What is the shape? The mean? The standard deviation?
3) Joe's reading habit varies from day to day with mean 280 pages and standard deviation 260 pages.
a) Compute the Z-score for a day in which Joe reads 500 pages. Interpret this Z-score.
b) Suppose a day has a Z-score of -0.85. Interpret this Z-score. How many pages did Joe read on this day?
c) Could a day have a Z-score of -1.5? How many pages would Joe read on such a day? Use your answer to argue that the distribution of pages rea

to get to school every morning you must turn onto wembley road at a set of traffic lights. the traffic lights for wembley road has a cycle of green for 30 seconds, oraange for 10 second, than red for 20 seconds.

1. what is the probability that the red traffic light will be red as you approach the intersection
2. over 3 school weeks how many days would expect the traffic lights to be red as you approach the intersection
3.designed an experiment where you simulate the operation of the traffic light to record whether the light is red as you approach the intersection. explain what devices you will need to represent the outcomes
4.complete the experiment 10 times and calculate the experiment probabily that the traffic lights will be red as you approach the intersection.

working out is needed thank you

6.use the probabilities calcuated in part 4 and 5 to estimate the number of days that the traffic light will be red over 3 school weeks.

Ramesh save the money 1000 Rs per 5 yrs than what is the total money after 5yrs if the rate of interest is 10%.

Q.2 > For each question decide whether it is :
Certain (c)
Likely (l)
Unlikely (u)
Even chances (e)
Impossible (i)
a) you get an odd number when you roll a normal dice.
b) You get a number less than 6 when you roll a normal dice.
c) The front page of a newspaper will contain the word “and”.
d) Multiplying an odd by an even gives an even number.
e) “Add” is a longer word than “Multiply”.

If you throw exactly one head in three tosses of a coin you win $87. If not, you pay me $48. Enter the expected value of the proposition. Round your answer to two decimal places.

Ten balls numbered 0, 1, 2, ….., 9 are put in a box and two balls are taken at random. What is the probability that both numbers are odd