Using the Poisson distribution, the probability of observing exactly three accidents on this stretch of road next month is given by:
b) 0.052.
<h3>What is the Poisson distribution?</h3>
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
The parameters are:
- x is the number of successes
- e = 2.71828 is the Euler number
- is the mean in the given interval.
Researching this problem on the internet, the mean is given by:
.
The probability of observing exactly three accidents on this stretch of road next month is P(X = 3), hence:
Hence option B is correct.
More can be learned about the Poisson distribution at brainly.com/question/13971530
#SPJ4
The answer is square root of 39. 64-25=39
Note: o represents an open dot, ⊕ represents a closed dot
1) ⇒ e < 6
Graph: ←--------------o6 Interval Notation: (-∞, 6)
2) n - 1 > 3 ⇒ n > 4
Graph: 4o-------------→ Interval Notation: (4, ∞)
3) 5 < 3 + w ⇒ 2 < w ⇒ w > 2
Graph: 2o-------------→ Interval Notation: (2, ∞)
4) 8 ≤ 2m ⇒ 4 ≤ m ⇒ m ≥ 4
Graph: 4⊕-------------→ Interval Notation: [4, ∞)
5) r - 4 < 1 ⇒ r < 5
Graph: ←--------------o 5 Interval Notation: (-∞, 5)
6) 2 ≤ -t ⇒ -2 ≥ t ⇒ t ≤ -2
Graph: ←--------------⊕ -2 Interval Notation: (-∞, -2]
7) 2 ≥ s - 2 ⇒ 4 ≥ s ⇒ s ≤ 4
Graph: ←--------------⊕ 4 Interval Notation: (-∞, 4]
8) 2 ≥ 5 + p ⇒ -3 ≥ p ⇒ p ≤ -3
Graph: ←--------------⊕ -3 Interval Notation: (-∞, -3]
The negative sign on an exponent means the reciprocal. Think of it this way: just as a positive exponent means repeated multiplication by the base, a negative exponent means repeated division by the base.