Search & Filtering
Learners have to demonstrate knowledge and skills in calculating quantities such as mass, length, perimeter, temperature and the volume of objects. When teaching conversions, emphasis must be placed on multiplication by a thousand (since "kilo" means thousand) and one thousandth (since "milli" means one thousandth). Design an instructional activity to explain how you would teach grade 4 learners the conversion of units when measuring length. Refer to page 25 of the CAPS document, the second bullet under ‘Calculations and problem-solving involving length’. Your focus should be on whole numbers
Four students took an exam in mathematics and got the following scores: 7, 12, 19, and 21. What is the mean of the sampling distribution of the sample mean with a sample size of 2?
Find the area to the right of each z zone of z=2.25
For each statement, state the null (Ho) and alternative (H₁) hypotheses.
1. A researcher thinks that if expectant mothers use vitamins, the birth weight of the babies will increase. The average birth weight of the population is 8.6 pounds.
2. The mean height of Grade 12 students is greater than 66 inches.
3. The average pulse rate of female joggers is less 72 beats per minute.
4. The average age of Senior High teachers at Masaya High School is greater than 27 years. 5. The average daily attendance of Grade 11 students in Statistics & Probability class is 45.
The probability of winning a match for team A is 0.6. Find the probability of winning 3 matches out of 5.
If a coin is tossed thrice, find the probability of a getting head at least two times.
Solve the following problems by using Binomial formula:
i. If n = 4 and p = 0.10, P(X = 3) = ?
ii. If n = 7 and p = 0.10, P(X = 4) = ?
iii. If n = 10 and p = 0.10, P(X 7) = ?
iv. If n = 12 and p = 0.10, P(5 X 7) = ?
A discrete random variable X is believe to follow a binomial distribution b(x; 5, p). If P(X = 0) = 243/1024, then find P(X = 3).
Is it possible to have a Binomial Distribution in the following cases:
i. Mean = 5 and Variance = 2.5
ii. P(X = – 2) = 0.1467
iii. P(X less than or not equal to 1) = 0.18
iv. Three parameters i.e. n, p and q
v. P(X = 1) = 0.35
vi. P(X Greater than or equal to 1) = 1.27
vii. .P(X = 3.5) = 0.19
viii. P(1 less than or not equal to X less than or not equal to 4) = 0.79.
A random sample of 81 observations is taken from a normally distributed population Y with unknown mean θ and unit variance. For testing H0 : θ = 10.1 against H1 : θ > 10.1 , the following acceptance region is used: A = { y : ӯ ≥ 9.88}. Determine the size of this acceptance region.
