Math Answers

2) C (3, -3), D (0, 4) Find the midpoints of the ff. Points 3) E (3, 2) , F (-1 , -2) 4) G (-3, 0), H (2, -1 ) 5) I (3, 1), J (-2, 0 )

Observe yourself in a day. Find out how many hours you spend in the following activities: house chores, answering Self Learning Modules, planting/gardening, using social media like Facebook, messenger, tiktok, Instagram, and YouTube, listening to music, watching television, and sleeping. Record your data. Construct a probability distribution, then compute the mean (µ), variance (σ2), and standard deviation (σ) of the probability distribution that you made.

If you are at least 40 years old, a natural-born citizen of the Philippines, and you are a registered voter, then you are eligible to be elected as the Philippine  President. 

a: You are at least 40 years old. 

b: You are a natural-born citizen of the Philippines. 

r: You are a registered voter. 

e: You are eligible to be elected as the Philippine President. 

A meeting of envoy was attended by 5 Koreans and 3 Filipinos. If four envoy were selected at random one after the other determine the values of the random variable K representing the number of Koreas.

 A certain population has a mean of 15.4 and a standard deviation of 5.6. if random samples of size 5 is taken from this population, which of the following statements is true? *

1 point

The standard deviation of the sampling distribution of the sample mean is 5.6.

The mean of the sampling distribution of the sample means is equal to 15.4.

The mean of the sampling distribution of the sample means is less than 15.4.

The standard deviation of the sampling distribution of the sample mean is 15.4.

1. Let X be random variable with values 4,5,6,7,8 and 9

a. Find the mean and the variance of the sample without replacement of n=2.

b. Find a the sampling distribution of the mean and construct it's histogram

2. An electrical firm manufactures light bulbs that have mean life span of 750 hours with a standard deviation of 30 hours. Assume that the mean life span of manufactured light bulbs is almost normal distributed. If a sample of 25 light bulbs are random selected, find the:

a. Probability that their mean life span is less than 740 hours.

b. Probability that their mean life span is greater than 775 hours .

Draw the normal distribution curve for each item.

1. Based from record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of 0.75 lbs. Out of 60 new born babies, find:

a. The probability that the sample mean is less than 4.6 lbs

b.The probability that the sample mean is equal to 5.0 lbs

c. The probability that the sample mean is greater than 5.1 lbs

d. The probability that the sample mean is between 4.5 to 4.9 lbs

2. Scanned imagine occupied an average of 0.6 megabytes of memory with a standard deviation of 0.4 megabytes. If you plan to upload 80 images on your website,what is the probability that their total size is between 47 megabytes and 56 megabytes

Given the data 6, 9, 12, 15, 16, 19, 22. Construct a sampling distribution of the sample mean without replacement and repetition by selecting 2 samples at a time.

2. Gillbert got a new job in a shoe store. The number of pairs of shoes he was able to sell for three days are 2, 4, and 5. Assume that samples of size 2 are randomly selected with replacement from this population of three values.

a. List down the 9 different possible samples.

b. Find the mean of each sample.

c. Find the mean of the sampling distribution of means.

d. Identify the probability of each sample.

e. Find the population mean.

f. Compare the population mean with the mean of the sampling distribution of means.

Prove that \sum_{i=0}^{n} 2^{i} = 2^{n + 1} - 1 Use mathematical induction for this proof and discuss/explain each step.