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In a case of 24 plates, 3 of the plates have defects. The first plate taken from the case is defective and not returned to the case. What is the probability that the next plate sold is not defective?

two cars each moving at constant speed on a straight road pass a certain point on the road at the same time if car A is moving at 23 m/s and car B is moving at 14 m/s how far apart will they be after five minutes if they contains at the same speed?


A tortoise moves at 0.5 m/s and hare moves at 6m/s if they decided to have a race over a straight 500m course how far be lined the hare will the tortoise be when the hare crosses the finish line?


Directions: Find the corresponding area between z = 0 and eachof thefollowing z-value. Use separate sheet of paper for your answers. 1. z = 0.96 2. z =− 1.74 3. z = 2.18 4. z =− 2.69 5. z = 2.93


Let X be a random variable that is normally distributed with a mean of 10 and a

standard deviation of 2. Assume that a sample of 25 observations are taken from

this distribution, What is the interquartile range of the distribution of the sample

means.


Mr. Pascual, an airline owner, decided to invest P2.5 million to fund his department handling  spare parts replacement. How long will it take his investment to accumulate to P3.325  million if the bank’s interest rate is 5.5%?

The mean number of houses sold by a real estate agent per week is 2. Find the

probability that over the next 6 weeks, the real-estate agent sells between 5 and

12 houses (both inclusive).


Westwood Grocery Store needs a new freezer for popsicles and ice cream bars. The owner finds a freezer that is 4 feet long, 2 feet wide, and 3 feet tall. What is the volume of the freezer?

Activity 2


1. In a Science test, the mean score is 42 and the standard deviation is 5.


Assuming the scores are normally distributed, what percent of the score is


a. Greater than 48?


b. Less than 50?


c. Between 30 and 48?


Sketch the normal


curve


12 students are to pose for photographs after a social gathering at FCT. 4 students are from Lagos state, 3 are from Kano state and the remaining are from Kwara state. How many possible photographs can they take if students from the same state must stand close to one another?


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