For the first digit, we have 5 options that are 4,5,6,7,8 . For the second digit, we have 4 options which are 3,4,5 or 6 and for the third digit, we have the options of all numbers except 2 or 5 that is 1,3,4,6,7,8,9,0 . SO we have 8 options for third digit . So to find the total number of options, we need to multiply all the possible options for each digit that is 5 times 4 times 8 = 160 . So the number of possible options are 160 .
Answer:
28.875 or 28 7/8
Step-by-step explanation:
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steps:
(23+1/2) + (15+1/8) - (9+3/4) then solve
46+1 over 2 + 120+1 over 8 - 36+3 over 4
solve
47/2 + 121/8 - 39/4
solve
188+121-78 over 8 = 231/8
convert 231/8= 28 7/8
Answer:
(c)
(b) The probability that time taken by Ayesha to prepare breakfast exceeds 33 minutes is 0.20.
(c) The probability that cooking or preparation time is within 2 mins of the mean time is 0.40.
Step-by-step explanation:
The random variable <em>X</em> follows a Uniform (25, 35).
(a)
The probability density function of an Uniform distribution is:
Then the probability density function of the random variable <em>X</em> is:
(b)
Compute the value of P (X > 33) as follows:
Thus, the probability that time taken by Ayesha to prepare breakfast exceeds 33 minutes is 0.20.
(c)
Compute the mean of <em>X</em> as follows:
Compute the probability that cooking or preparation time is within 2 mins of the mean time as follows:
Thus, the probability that cooking or preparation time is within 2 mins of the mean time is 0.40.
4*2/5 = 22/5
16*1/2 = 33/2
22/5 ............. 1 min
33/2 ..............x min
x = 33/2 : 22/5 = 33/2 x 5/22 = 165/44 = 3,75 min
Linear decreasing because it is a line with a negative slope