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Find the following probabilities if the random variable X is normally distributed with
mean 15 and standard deviation 3.
(i) P(X<10)
(ii) P(10<X<25 )
Given that Z is a standard normal random variable, find z for each situation,
(i) The area to the left of Z is 0.2115
(ii) The area to the right of Z is 0.5000
The average amount parents spent per child on private tuition classes is Rs 6000.
Assume that the standard deviation is Rs 1000 and that the amount spent is normally
distributed.
(i) Find the probability that the amount spent on a randomly selected child is:
a. Less than Rs 5000
b. Between Rs 5000 and Rs 6500
c. What is the probability that the amount spent on a randomly selected
child is between Rs 6500 and RS 8000. (06 marks)
(ii) Assume that 5% of parents spent over Rs 8000. If we selected randomly 1000
parents who sent their children to tuition, how many parents would spend more
than Rs 8000?
Current of 50A flows to east on stationery wire . A second wire is 1cm below it . How much current must be flowing in the second wire so that doesn't fall due to gravity ? What is the direction of the current ? The mass per unit length of the second wire is 5g/m
the score of shs students in their first quarter in statistic and probability brainly were analyzed and found to have a mean of 54.5and standard deviation of 7.5. find a 90% confidence interval
If scores are normally distributed with a mean of 30 and a standard deviation of 5.what percentage of the scores is?
If scores are normally distributed with a mean of 30 and a standard deviation of 5.what percentage of the scores is?
Assume that the average monthly earnings for the estate workers to be Rs 8500. A sample of 100 garment workers shows a sample mean is Rs 8000. Use a population standard deviation of Rs 1000.
(i) Formulate the null and alternative hypotheses that can be used to determine whether the sample data support the conclusion that the population mean wage is less than that of Rs 8500. (04 marks)
(ii) What is the value of test statistic?
(iii) What is the p-value?
(iv) What was the confidence interval?
(v) At a = 0.01, what is your conclusion.
Which of the statements is correct?
1.Carbon may form a polar or non-polar covalent bond.
2.A carbon-hydrogen bond ethane (CH3CH3) is highly polar.
3.In a carbon atom, the 2s and 2p orbitals are equal in energy.
4.Carbon has two valence electrons.
The reaction between solid white phosphorus and oxygen producing solid tetraphosphorusdecoxide (P4O10)
On average, four students visits the Mathematics and Statistics tutoring centre during a 5-minute period. (a) Calculate the probability that three students visit the centre during a 5- minute period. [3] (b) During a ten-minute period, what is the probability that at least 4 students visit the centre? [5] T
