A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded.
1 answer:
Answer:
Step-by-step explanation:
The satellite has 30 modular units.
There are equal numbers of non-upgraded sensors in each unit.
Let us assume that on the entire satellite there are x numbers of upgraded sensors.
Then as per the given condition, there are number of non-upgraded sensors in one unit.
Therefore, the number of non-upgraded sensors on the entire satellite is =6x
Hence, total number of sensors in the satellite is (x+ 6x) =7x
Therefore, the required fraction of the upgraded sensors is . (Answer)
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Answer:
a) 0.1587
b) 0.0475
c) 0.7938
Step-by-step explanation:
Let's start defining our random variable.
X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''
X is modeled as a normal random variable.
X ~ N(μ,σ)
Where μ is the mean and σ is the standard deviation.
To calculate all the probabilities, we are going to normalize the random variable X.
We are going to call to the standard normal distribution ''Z''.
[(X - μ) / σ] ≅ Z
We normalize by subtracting the mean to X and then dividing by standard deviation.
We can find the values of probabilities for Z in a standard normal distribution table.
We are going to call Φ(A) to the normal standard cumulative distribution evaluated in a value ''A''
a)
Φ(-1) = 0.1587
b)
1 - Φ(1.666) = 1 - 0.9525 = 0.0475
c)
Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938