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Two of the five (5) foreign automobiles from an overseas shipment have slight paint blemishes. If an agency receives three (3) of these automobiles at random
Two of the five (5) foreign automobiles from an overseas shipment have slight paint blemishes. If an agency receives three (3) of these automobiles at random, list the elements of the sample space 𝑆 using the letters B and N for “blemished” and “non-blemished”, respectively. For each sample point, assign a value 𝑥 of the random variable 𝑋 representing the number of automobiles purchased by the agency with paint blemishes
Find the point estimate of the population parameter of the scores in a long test in science
Red and White Pizza Pies, Inc. makes pizza pies in two (2) flavors, regular and white pizza. Each pie uses one (1) portion of dough. Each regular pie has one (1) portion of sauce and one (1) portion of cheese. Each white pizza has no sauce but use two (2) portions of cheese. A regular pizza contributes $2 to profit while a white pizza contributes $3 to profit. Red and White Pizza starts out with 4 portions of dough, 3 portions of sauce and 6 portions of cheese available. The company must decide how many pies of each type to make per hour
the weight of all male senior high school students from one province is measured and is found to be approximately normally distributed with a mean of 115 lbs and standard deviation of 3 lbs. find the percentile rank of the following weights?
A. 112 lbs
B. 115 lbs
Use the Laws of Logic to prove the following equivalence and state the laws used for each step.
p → (p ⋀ q), p → q
On average 20% of the calculators produced in a factory are faulty. Samples of 10 calculators are to be selected at a random each day. Each calculator will be selected and replaced in the set of calculators which have been produced on that day. Calculate the probability that in any one sample, two calculators or less will be faulty. (4 marks)
In the year 1918 a flu like disease occurred in Spain and spread to the rest of the world. This year 2020 another similar flu like disease has occurred in china and is spreading in the whole world. Researchers have found that the likelihood of the disease occurring again is 0.01.Determine the average number of flus in the next 300 years and the likelihood that in the next 300 years, the disease will occur at most five times. (6 marks)
48, 48.3, 48.5, 49.5, 48, 49, 49.4, 49, 48.5, 49.9, 48, 48, 48.4, 49.7, 49, 36, 37.8, 38, 39.8, 39, 39.2, 40.1, 41, 41, 40, 41, 42, 40.2, 41.7, 41, 41.8, 43.7, 43, 42.4, 43.1, 42, 42.8, 43.9, 41.8, 43.2, 42, 43, 43, 43.1, 42, 43, 44, 44, 44, 44, 45, 44.2, 44.4, 45.5, 45.6, 45.9, 45, 45, 44, 45, 44, 45, 45, 44.8, 44.2, 44.9, 47.2, 46, 47, 47.9 ,47, 46, 47, 46.3, 46.2, 47.7, 47.9, 47, 47, 46, 47, 46, 47, 47.6, 46, 51, 50.6, 51, 50.7, 51.2, 50.2, 50.2, 51.3, 51.1, 51, 52.5, 52.4, 53, 52, 54, 55.9, 55.
i. Clearly showing all steps, present the above data on an inclusive frequency distribution table using ten classes.
ii. Determine the percentage discrepancy in the weight of the maize bags if there is any.
iii. Determine if there is any type of imbalance in the weight of the maize measured.
iv. Determine if there is any type of imbalance in the weight of the maize measured compared to the recommended 48 kilograms and comment.
Let P(x) denote the statement “x ≤ 4.” What are these truth values?
a) P(0)
b) P(4)
c) P(6)
d) P(5)
e) P (1)
